Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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assignment 6.2 graphs of exponential functions score: 0/7 answered: 2/7…
To draw the graph of \( f(x) = 3^x \), follow these steps: ## Step 1: Identify Key Points - When \( x = 0 \), \( f(0) = 3^0 = 1 \). So the point is \( (0, 1) \). - When \( x = 1 \…
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the pesticide residue detected in conventional produce falls within acc…
NO CHANGE
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a type of jurisdiction that state and local trial courts have is civil …
B. original jurisdiction.
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8. about the y-axis $x = 3y/2$
The volume is \(6\pi\) (or if we made a mistake in the region, but based on the given figure and the line \(x=\frac{3y}{2}\), the volume is \(6\pi\))
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(u5) two jedi are having a training battle. one jedi (the master) runs …
5
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which number has a 3 with a value that is 100 times greater than the va…
C. 36.25 (assuming the options are labeled A:423.06, B:307.18, C:36.25, D:108.173)
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for each function, determine the long run behavior\\(\\frac{x^2 + 1}{x^…
To determine the long - run behavior of a rational function \(y=\frac{f(x)}{g(x)}\) (where \(f(x)\) and \(g(x)\) are polynomials), we compare the degrees of the numerator polynomi…
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y = x² + 3 column by column x | x² | y = x² + 3 -3 | | -2 | | -1 | | 0 …
For the \( x=-3 \) row, the value of \( x^{2} \) is \( 9 \) and the value of \( y = x^{2}+3 \) is \( 12 \).
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what is the x-intercept of the line with the equation $y = \\frac{1}{2}…
B. 6
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what is the y-intercept of the line with the equation $y = 4x + 2$? a. …
C. 2
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find the domain and range of the function: domain: range:
Domain: \([-3, 3]\) Range: \([0, 18]\)
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graph each of the following. include at t-chart showing each transforma…
La gráfica de \( y = f(x) + 3 \) es la gráfica de \( f(x) \) trasladada verticalmente hacia arriba de 3 unidades.
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which issue are teen parents more likely to experience than adult paren…
A. low - paying jobs
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unction below, fill in the table of values, use the table to graph the …
For \( x = -3 \): - \( x^2 = 9 \) - \( y = 2x^2 = 18 \) Completing the entire table: | \( x \) | \( x^2 \) | \( y = 2x^2 \) | |--------|----------|---------------| | -3 | 9 | 18 |…
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in general, which of the following is not true concerning teens and mar…
D. Many married teens remain together for a large number of years.
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match the function with its graph. $y = \\frac{1}{x - 4} + 1$ graphs ar…
The Middle Graph in the Top Row (the second graph from the left in the top row)
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2. use the graph of each transformed parent function to describe the tr…
## Part a: - Transformation(s): Vertical shift down by 1 unit. - \( f(x) = x^2 - 1 \) ## Part b: - Transformation(s): Horizontal shift left by 3 units. - \( f(x) = (x + 3)^2 \) ##…
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you are told that a bank investment can be modeled by a linear equation…
The initial investment is $30,000, and the money is increasing.
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what does it mean when your slope is an integer?
When a slope is an integer \( m \), for every 1 - unit change in \( x \) (horizontal change), the \( y \) - value (vertical change) changes by \( m \) units. It represents a const…
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5. given $f(x) = 3x - 5$, which statement is true? a) $f(0) = 0$ b) $f(…
b) \( f(3)=4 \) ### Question 6
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3. if the function ( f(x) = x^2 ) has the domain ( {0, 1, 4, 9} ) what …
b) {0, 1, 16, 81} ### Question 4
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Question was provided via image upload.
The total distance Jabari drives is \( 3\frac{8}{10} \) (or simplified \( 3\frac{4}{5} \)) miles. So the whole number box is 3, numerator box is 8, denominator box is 10.
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2.6 (a) independent practice & hw 1. the height of a firework at an amu…
\( h(t) = -16t^2 + 96t + 2 \) ### Problem 1b: Find and interpret the y - intercept
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6. $f(x) = 7 + 3x$ | $x$ | $7 + 3x$ | $f(x)$ | | --- | --- | --- | | | …
The table can be filled with \( x \) values (e.g., 0,1,2,3), corresponding \( 7 + 3x \) calculations, and \( f(x) \) values as shown above.
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8 what is the value of $6.7 \\times 0.54$? a 3.618 b 36.18 c 6.63 d 6.16
A. 3.618
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sophias parents notice that she is using the internet often. what steps…
- Warn Sophia about listing her home address on social media. - Set up privacy settings and firewalls to restrict access to certain sites. - Remind Sophia to limit what she shares…
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1. find f(4) if f(x) = x - 6. (example 1)
\( f(4)=-2 \)
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make a function table for each function. then state the domain and rang…
# Explanation: ## Step1: Choose x-values Let's pick x = 0, 1, 2, 3 for simplicity. ## Step2: Calculate f(x) for x=0 Substitute x = 0 into \( f(x) = 5 - 2x \): \( f(0) = 5 - 2(0) =…
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use the change of base formula to rewrite the logarithm with the common…
(Rewriting): $\frac{\log(59)}{\log(5)}$ (or $\frac{\ln(59)}{\ln(5)}$)
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f(4) if f(x) = 3x - 1
11
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due friday by 11:59pm points 100 submitting an external tool exam 3 100…
6.207
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due friday by 11:59pm points 100 submitting an external tool exam 3 100…
11
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the function below has the form $f(x) = a \\cdot b^x$. which of the fol…
$f(x) = -3 \cdot 4^x$
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piece - wise defined functions 1.13a homeworksheet write a piecewise de…
The piece - wise function is \(\boldsymbol{C(m)=\begin{cases}12000, & 0\leq m\leq42000\\0.25m + 1500, & 42000 < m\leq52000\\0.50m - 11500, & m > 52000\end{cases}}\)
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exam 3 100 points possible answered: 0/14 question 1 for the function $…
$f(1) = 3$, $f(2) = 27$
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could change. 30.write a short argument answering this question: \shoul…
Governments should protect domestic industries from foreign competition in limited cases, justified by concepts like the infant industry argument (temporary protection for new, hi…
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assignment 6.1 exponential functions score: 5.95/10 answered: 7/10 ques…
\(a = 3\), \(b = 2\)
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how much would you need to deposit in an account now in order to have $…
2824.41
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john has 12 pounds of dog food and is going to separate it into \\(\\fr…
E. 16
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graph the inverse of the provided graph on the accompanying set of axes…
To graph the inverse, swap the \(x\)- and \(y\)-coordinates of at least 5 points on the original line (e.g., \((0, -2)\to(-2, 0)\), \((1, 0)\to(0, 1)\), \((2, 2)\to(2, 2)\), \((3,…
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3. a table of selected values is given for a one - to - one function ( …
The inverse function \(g^{-1}(x)\) has the following mapping: when \(x = 10\), \(g^{-1}(10)=-4\); when \(x = 8\), \(g^{-1}(8)=-2\); when \(x=-3\), \(g^{-1}(-3) = 0\); when \(x=-1\…
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date: 2.6 (b) independent practice & hw 1. natalya lisovskaya set the w…
1. a. \( h(t)=-4.9t^{2}+13.7t + 1.6 \) b. \( 1.6 \) meters c. \( t=\frac{-b}{2a}=\frac{-13.7}{2\times(-4.9)}\approx1.4 \) seconds d. \( h(1.4)=-4.9\times(1.4)^{2}+13.7\times1.4 + …
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graph the inverse of the provided graph on the accompanying set of axes…
To graph the inverse, plot points by swapping \( x \) and \( y \) coordinates of points on the original graph. For example, if original points are \((-6, -5)\), \((-2, -3)\), \((2…
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read the claim and the supporting evidence. claim: parents should limit…
Parents are obligated to take steps to protect the health of their children.
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a line passes through the points (4, -8) and (6, -9). write its equatio…
\(y = -\frac{1}{2}x - 6\)
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graph this line using the slope and y-intercept: y = -4x + 2 click to s…
To graph \(y=-4x + 2\): 1. Plot the y - intercept at \((0,2)\) (since when \(x = 0\), \(y=2\)). 2. Use the slope \(m=-4=\frac{\text{rise}}{\text{run}}=\frac{-4}{1}\): - From \((0,…
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a line passes through the points (-6, 4) and (4, 4). write its equation…
\( y = 4 \)
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a line passes through the points (-2, -10) and (3, 5). write its equati…
\(y = 3x-4\)
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given the function f(x) = (x + 8)^3, complete parts a through c. (a) fi…
\( \sqrt[3]{x} - 8 \)
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example: determine the end behavior of each function below. then, ident…
### Graph a: - End Behavior: \( x \to -\infty, f(x) \to -\infty \); \( x \to +\infty, f(x) \to +\infty \) - Degree: Odd - Leading Coefficient: Positive - Explain: Opposite end beh…
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solve log 3x = log 5 + log (x - 2) give exact answer give solution set
The exact answer is $x = 5$ and the solution set is $\{5\}$.
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sketch a graph of the following equations. after graphing, state the do…
## Problem 1: a) \( f(-2) = 1 \) b) \( f(0) = -3 \) c) \( f(3) = -15 \) ## Problem 2: a) \( f(-1) = 2 \) b) \( f(1) = 4 \) c) \( f(2) = 4 \)
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condense log expression ln x + 9ln y a. ln xy⁹ b. ln (x + 9y) c. none
A. \( \ln xy^9 \)
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2.7 independent practice & hw 1. describe each transformation as it rel…
Vertical translation \(2\) units up Horizontal translation \(3\) units right Horizontal translation \(1\) unit left, vertical translation \(4\) units down Horizontal translation \…
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condense log expression ln x + 9 ln y
\(\ln(xy^9)\)
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2.7 independent practice & hw 1. describe each transformation as it rel…
Transformation: The graph of the parent function \( y = x^2 \) is shifted vertically upward by 2 units. ### Part 1b: \( y = (x - 3)^2 \)
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2. determine the degree of each polynomial function represented in the …
s: ### Problem 2: - Degree of \( f(x_1) \): \( \boldsymbol{3} \) - Degree of \( g(x_1) \): \( \boldsymbol{4} \) ### Problem 3: - \( x \)-intercepts: \( \boldsymbol{1, -8, \frac{5}…
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how does the us decision - making process compare to russia’s hybrid sy…
A. The US has a system of checks and balances that limits executive power more than Russia’s system does.
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13. determine the quadratic function that defines a parabola with x-int…
The quadratic function is \( y = 2x^{2}-4x - 6 \)
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how did the new deal change the role of the federal government during t…
A. It expanded federal programs to address social and economic challenges
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6) slope = graph of a line on a coordinate plane with grid lines. the l…
\(-1\)
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5) slope = ________
\(-\frac{3}{2}\)
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4) slope = graph of a line on a coordinate plane with points, need to f…
\(4\)
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this area model represents the product 21 × 37. 30 7 20 600 140 1 30 7 …
777
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3) slope = ________
\(2\)
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question 14 the polynomial function f(x) is graphed below. fill in the …
Degree: \( 5 \), Leading coefficient: positive, Number of real zeros: \( 3 \), Relative maximums: \( 2 \) (Note: If the graph has different characteristics, the values may change.…
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evaluate expression $\\log_{10} 100$
2
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4 mark for review the piecewise-linear function f, defined on -4 ≤ x ≤ …
A (the option with the graph that has the left - most horizontal part starting around \( x = - 7 \), a corner around \( x=-5 \), and the increasing part starting around \( x=-2 \)…
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evaluate or simplify ln e
1
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the functions f and g are given by $f(x) = \\frac{1}{x}$ and $g(x) = \\…
C. All real numbers greater than 0
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two functions f and g are composed such that $f(g(x)) = 4\\sqrt{x - 3} …
D. \( f(x) = 4x + 2 \) and \( g(x) = \sqrt{x - 3} \)
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read the scenario. a neighborhood in pineview city has reported increas…
The option: "Make an ordinance to reduce the speed limit and provide safety measures such as speed bumps and crossing guards"
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find domain of log f(x)=ln(5 - x)
The domain of \( f(x)=\ln(5 - x) \) is all real numbers \( x \) such that \( x < 5 \), or in interval notation \( (-\infty, 5) \).
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solve. $y = -4x + 10$ $y = -3x + 5$ ( , ) submit
\((5, -10)\)
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question 12 the graph of $y = f(x)$ is graphed below. what is the end b…
As \( x\to-\infty\), \( f(x)\to+\infty\) and as \( x\to+\infty\), \( f(x)\to-\infty\)
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20. 25 - 4 ÷ (4/5) + 11
31
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2. y = ______ m = ______ b = ______ (graph of a line on a coordinate pl…
\(y=-\frac{1}{3}x + 1\), \(m =-\frac{1}{3}\), \(b = 1\)
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1. write a quartic function with x-intercepts at -5, 3, -2, and -4 with…
\( f(x)=-x(x + 5)(x - 3)(x + 2)(x + 4) \) \( f(x)=-2(x + 4)(x - 5)(x - 7)(x + 1) \) \( f(x)=-4(x + 2)(2x - 1)(4x + 3)(x - 8) \) \( f(x)=5x^{3}+10x^{2}-80x + 240 \) \( y = 2x(x + 7…
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which statement is true about the function $f(x) = \\sqrt{-x}$? - it ha…
It has the same domain as the function \( f(x)=-\sqrt{-x} \).
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which statement best describes $g(x) = \\sqrt3{x + 6} - 8$ and the pare…
The ranges of \( g(x) \) and \( f(x) \) are the same, and their domains are also the same. (The third option: "The ranges of \( g(x) \) and \( f(x) \) are the same, and their doma…
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the function d(t) defines a traveler’s distance from home, in miles, as…
The correct options are: - At 2 hours, the traveler is 725 miles from home. - At 3 hours, the distance is constant, at 875 miles. - The total distance from home after 6 hours is 1…
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a) $m = \\frac{2}{-4} = -\\frac{1}{2}$ b) $b = -2$ c) $y = -\\frac{1}{2…
Assuming we are to check the correct statements: a) is correct (since \(\frac{2}{-4}=-\frac{1}{2}\)), b) is correct (if the y - intercept is \(-2\)), c) is correct (since \(y =-\f…
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question 7 1 pts identify the parent function of each. if there is more…
To solve this, we analyze each graph: ### Part A The graph is a polynomial with a "W" or even - degree polynomial shape, typical of a **quartic (degree 4) or a transformed polynom…
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find the value of x. $10^x \\cdot 10^9 = 10^{11}$ 2. 16 is \\underline{…
\( x = 2 \) ### Problem 2: 16 is __ times larger than 4
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the graph of f(x) = |x| is transformed to g(x) = |x + 1| - 7. on which …
\( (-\infty, - 1) \) (corresponding to the option \( (-\infty, -1) \))
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find range $g(x) = 3\\log_{2}(7x - 5) + 4$
The range of \( g(x)=3\log_2(7x - 5)+4 \) is \( (-\infty, \infty) \) (or all real numbers \( \mathbb{R} \))
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for the rotation $-\frac{13pi}{3}$, find the coterminal angle from $0 \…
The coterminal angle is \(\boldsymbol{\frac{5\pi}{3}}\), which lies in Quadrant \(\boldsymbol{IV}\), with a reference angle of \(\boldsymbol{\frac{\pi}{3}}\).
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roller coasters on a racing roller coaster, two trains start at the sam…
## Tiempos de misma altura (ordenados): \( 10.0 \), \( 20.0 \), \( 30.0 \) (suponiendo gráfica) ## Tiempos de altura 150 pies (ordenados): \( 5.0 \), \( 25.0 \), \( 30.0 \) (supon…
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directions: begin at square (a) below. identify the slope of the line s…
The correct path is determined by calculating the slope of each line in the squares (using \( m = \frac{\Delta y}{\Delta x} \)) and following the path where the slope value matche…
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find vertical asymptote f(x) = -ln(x + 3)
The vertical asymptote of \( f(x)=-\ln(x + 3) \) is \( x = - 3 \)
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5) equation ordered pair = (2,4) ordered pair = (1,0) slope (m) = y-int…
- Slope (\( m \)): \( 4 \) - Equation: \( y = 4x - 4 \)
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use the graph f(x)=log x to graph g(x)=log(x+2)
To graph \( g(x)=\log(x + 2) \) from \( f(x)=\log x \), shift the graph of \( f(x) \) **2 units to the left**. The vertical asymptote moves from \( x = 0 \) to \( x=-2 \), and key…
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find the horizontal asymptote 3 f(x) = e^{3x} + 1
The horizontal asymptote of \( f(x) = e^{3x}+1 \) is \( y = 1 \)
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two citizens are arguing over the role and influence of the many organi…
D. Pluralist model (assuming the options are labeled as A: Hyperpluralist, B: Politico, C: Elitist, D: Pluralist; but in the image, the options are: 1. Hyperpluralist, 2. Politico…
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find the horizontal asymptote $f(x) = 3^{x + 1}$
The horizontal asymptote of \( f(x)=3^{x + 1} \) is \( y = 0 \)
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12. write the equation of a line with a slope of 3 that goes through th…
The equation of the line in point - slope form is $y - 5 = 3(x - 2)$
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find the horizontal asymptote -e^x - 1
The horizontal asymptote of the function \( y = -e^x-1 \) is \( y=-1 \)
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rename and subtract the numbers. simplify your answers when necessary. …
1. \( 7\frac{1}{4}=7\frac{2}{8}=6\frac{10}{8} \); \( 5\frac{3}{8}=5\frac{3}{8}=5\frac{3}{8} \); Result: \( 1\frac{7}{8} \) 2. \( 5\frac{1}{3}=5\frac{2}{6}=4\frac{8}{6} \); \( 2\fr…
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find the horizontal asymptote f(x) = 2x + 1
The function \( f(x) = 2x+1 \) has no horizontal asymptote.
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given the function f(x) = (x + 10)^3, complete parts a through c. (a) f…
\( f^{-1}(x)=\sqrt[3]{x}-10 \)