Analysis
Grenzwerte, Ableitungen, Optimierung und Funktionsverhalten.
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suppose that the function g is defined as follows. \\g(x)=\\begin{cases…
The graph consists of horizontal line segments: - From \( (-3.5, -2) \) (open) to \( (-2.5, -2) \) (closed). - From \( (-2.5, -1) \) (open) to \( (-1.5, -1) \) (closed). - From \(…
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question ______ is the study of how individuals and businesses make dec…
Economics (the option with the label "Economics" among the radio buttons)
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4 multiple choice 1 point social media algorithms help campaigns target…
D. Increase polarization by personalizing political information ### Question 5
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the volume of a sphere is increasing at a constant rate of 91 cubic inc…
\( \approx 88.000 \) (rounded to three decimal places)
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the volume of a sphere is increasing at a constant rate of 91 cubic inc…
The rate of change of the surface area is approximately \(\boldsymbol{88.01}\) square inches per minute.
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the area of a square is increasing at a rate of 15 square inches per mi…
\( 30.000 \) (or simply \( 30 \))
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graph the function. ( y = -\frac{3}{2}x ) plot five points on the graph…
The points to plot are \((0, 3)\), \((-2, 6)\), \((-4, 9)\), \((2, 0)\), \((4, -3)\) and the graph is a straight line through these points. (Note: If the function was misinterpret…
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in cooking class, the instructor divided 3/4 of an ounce of salt into s…
\(\frac{3}{8}\) (assuming division into 2 serving dishes; if the number of dishes is different, adjust the division accordingly. For example, if 3 dishes, \(\frac{1}{4}\); if 1 di…
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question 9 of 10 what is the slope of the line shown below? (4, 8) a. -…
D. 3
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graph the parabola. $y = -4x^2 + 5$ plot five points on the parabola: t…
The vertex is \((0,5)\), left - side points: \((-1,1)\), \((-2,-11)\); right - side points: \((1,1)\), \((2,-11)\) (these points can be used to graph the parabola \(y=-4x^2 + 5\))
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question 7 of 10 what is the slope of the line shown below? (3,7) a. 5 …
B. 2
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question 6 of 10 what is the slope of the line shown below? (5,11) a. b…
D. $\frac{6}{5}$
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read the excerpt from \take the tortillas out of your poetry.\ for me, …
A. Anaya speaks about everyone’s right to read what they choose in order to appeal to the reader’s sense of fairness
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41. the graph of a quadratic function is called a the parent function i…
1. parabola 2. \( y = x^{2} \) 3. up or down (and affects width) 4. y - intercept
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evaluate the square root on your calculator.\\(\\sqrt{14}\\)\ \\(\\boxe…
3.74
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question 4 of 10 which of the following are the correct properties of s…
C. The slope of a line that moves up from left to right is positive. D. Some lines have an undefined slope.
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read the excerpt from amy tan’s essay \mother tongue.\ i know this for …
A. to inform readers based on Tan’s childhood experience
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simplify the following expressions completely. enter dne if the answer …
s: a) \( \boldsymbol{6} \) b) \( \boldsymbol{-9} \) c) \( \boldsymbol{DNE} \)
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question 2 of 10 the change in the x-coordinates of any two points on a…
C. run
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read the excerpt from mother tongue. those tests were constructed aroun…
B. Tan’s mother could think of several ways to answer a question like the one described in the excerpt
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which of the following is the graph of $f(x) = -3(x - 1)^2 + 12$? a) b)…
B. $6\sqrt{2x}$ ### Question 38
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background - in the previous lesson, you learned about greco-roman and …
A written constitution helps avoid abuse of power and tyranny by: 1) Defining and limiting government powers (e.g., separating powers into branches to prevent one group from total…
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find the slope of the line $y = \\frac{1}{2}x + 4$. write your answer a…
$\frac{1}{2}$
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33. the standard form of a quadratic function is a) $a(x - h)^2 + k$ b)…
a) \( a(x - h)^2 + k \) ### Question 34
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graph the quadratic. a) d c) b 2) y = 3x² + 12x + 13 (with four graphs …
The graph that represents \( y = 3x^2+12x + 13 \) (with vertex at \((-2,1)\) and opening upwards)
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which of the following is true of local businesses? a. they are only in…
C. They typically serve customers only in the limited surrounding area.
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evaluate this integral \\(\\int -4\\tan x dx\\)
\(4\ln|\cos x| + C\) (where \(C\) is the constant of integration)
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graph this line using the slope and y-intercept: y = -3x - 1 click to s…
To graph \(y = - 3x-1\): 1. Plot the y - intercept \((0,-1)\). 2. Use the slope \(-3\) (rise - 3, run 1 or rise 3, run - 1) to find another point (e.g., \((1,-4)\) or \((-1,2)\)).…
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15\ \\(\\frac{1}{10}\\)
150
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block: 5th date: 11. which of these quadratic functions is shown in the…
B. \( y = (x - 3)^2 - 1 \) ### Question 12
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question 3 of 10 what is the equation of the following line? be sure to…
E. \( y = \frac{3}{2}x \)
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-12 \\frac{1}{6}
\(-72\)
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find the equation and slope of a line that is perpendicular to the y-ax…
Equation: \( y = 3 \) Slope: \( 0 \)
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what is the slope of the line that passes through the points (-2, 9) an…
\( \frac{5}{2} \)
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try again your answer is incorrect. - initial value: your answer is cor…
Initial value: \(\$25,900\) Value after 11 years: \(\$6,581\)
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the dollar value v(t) of a certain car model that is t years old is giv…
Initial value: $\$25900$ Value after 11 years: $\$6583$
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consider the line $y = \\frac{4}{5}x + 9$. find the equation of the lin…
Equation of parallel line: \( y=\frac{4}{5}x+\frac{46}{5} \) Equation of perpendicular line: \( y = -\frac{5}{4}x + 1 \)
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1 which quadratic function graphed below has a vertex at (3, -2)? (a) (…
A ### Question 2
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given the function below, fill in the table of values and use the table…
For \( x = -3 \), \( y = 12 \); for \( x = -2 \), \( y = 8 \); for \( x = -1 \), \( y = 4 \); for \( x = 0 \), \( y = 0 \); for \( x = 1 \), \( y = -4 \). The table filled is: | \…
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graph the equation, $y = -3\\vert x + 3\\vert + 5$
The graph has a vertex at \((-3, 5)\), opens downward, is vertically stretched by a factor of 3, and passes through points like \((-2, 2)\) and \((-4, 2)\) (the actual graph is dr…
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7. given the function $f(x) = \\sqrt{-4x + 15}$, calculate the followin…
\( f(-7)\approx6.56 \), and \( -7 \) is in the domain (Yes). ### Part (b)
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graph the equation. y = -2|x + 4|
# Explanation: ## Step1: Identify the vertex of the absolute - value function The general form of an absolute - value function is \(y = a|x - h|+k\), where \((h,k)\) is the vertex…
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given the function below, fill in the table of values and use the table…
For \( x = -3 \), \( y = 1 \) (and the full table is: | \( x \) | \( y = x + 4 \) | | ---- | ---- | | -3 | 1 | | -2 | 2 | | -1 | 3 | | 0 | 4 | | 1 | 5 |)
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(-\frac{3}{5}\)
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question 23 of 25 in which direction does the left side of the graph of…
Downward
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3. no calculator the graph of $f$, the derivative of $f$, is shown in t…
A. One relative maximum and two relative minima
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question 22 of 25 what is the maximum number of relative extrema contai…
0
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a line passes through the point (-2, -1) and has a slope of -5. write a…
$y = - 5x-11$
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find the value of f(-3). y = f(x)
\( 3 \)
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fill in the blanks below. (a) find the slope of the line passing throug…
(a) slope: \( 0 \) (b) slope: \( 0 \)
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question 17 of 25 which of the two functions below has the smallest min…
A. \(f(x)\)
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2. no calculator the line normal to the curve $y = \\sqrt{16 - x}$ at t…
A. 8
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question 16 of 25 evaluate the function below for x = 3. f(x) = 2x³ - x…
D. 42
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given h(x) = -2x - 4, find h(2). answer
\( -8 \)
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question a __________ is usually one of a kind and serves a limited sur…
B. local business
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the town council of fairfield represents residents who live within the …
Local - Legislative (the checkbox at the intersection of "Local" row and "Legislative" column)
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graph the line. $y - 2 = \\frac{3}{4}(x + 1)$
To graph the line \( y - 2=\frac{3}{4}(x + 1) \), plot the point \((-1,2)\), then use the slope \(\frac{3}{4}\) to find other points (e.g., \((3,5)\) or \((-5,-1)\)) and draw a st…
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graph the line. $y + 1 = -\\frac{1}{4}(x + 5)$
To graph the line \( y + 1 = -\frac{1}{4}(x + 5) \): 1. Plot the point \((-5,-1)\) (from the point - slope form \(y - y_1=m(x - x_1)\) where \(x_1=-5,y_1 = - 1,m=-\frac{1}{4}\)). …
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question 8 of 25 which function results after applying the sequence of …
B. $f(x) = 3(x + 2)^5 + 1$
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question 4 of 25 which of the functions below could possibly have creat…
A. \(F(x) = x^4 - x^3 - 3x^2 + 3\)
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graph the line. $y + 4 = 5(x - 3)$
To graph the line \( y + 4 = 5(x - 3) \): 1. Recognize it is in point - slope form \( y - y_1=m(x - x_1) \) with slope \( m = 5 \) and point \( (3,-4) \). 2. Plot the point \( (3,…
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a line passes through the point (8, -2) and has a slope of $-\\frac{3}{…
$y =-\frac{3}{2}x + 10$
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question 10 of 10 which function results after applying the sequence of…
C. $f(x)=\frac{1}{3}(-x+1)^5$
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graph the line. $y = \\frac{1}{4}x$
To graph \(y = \frac{1}{4}x\), plot the origin \((0,0)\) and the point \((4,1)\) (or \((-4,-1)\)) and draw a straight line through them. The line has a slope of \(\frac{1}{4}\) an…
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question 9 of 10 which of the two functions below has the largest maxim…
A. \(g(x)\)
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question 7 of 10 what are the end behaviors of ( f(x) = (x + 2)^6 )? a.…
B. Both ends go up.
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question 6 of 10 what is the equation of the graph that represents the …
D. $g(x) = 2(x + 3)^4$
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question 5 of 10 f(x) = -3(x + 2)^3 what is the equation of this functi…
C. $f(x) = 3(x + 2)^3$
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question 3 of 10 what was the equation of the graph below before it was…
A. $G(x) = x^3 - x$
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question 2 of 10 which rule should be applied to reflect ( f(x) = x^3 )…
D. Multiply f(x) by -1
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find the slope of the line graphed below.
The slope of the line is \(4\).
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question 1 of 10 what are the characteristics of the function $f(x) = -…
D. The left end of the graph of the function goes up, and the right end goes down., F. It is a reflection and a translation to the left of the parent function.
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a line passes through the point (2, -6) and has a slope of -4. write an…
$y + 6=-4(x - 2)$
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solve for x and graph the solution. (x - 1)(x + 5) ≥ 0 plot the endpoin…
The solution to the inequality \((x - 1)(x + 5) \geq 0\) is \(x \leq -5\) or \(x \geq 1\). To graph this: plot closed circles at \(x = -5\) and \(x = 1\), draw a ray to the left o…
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along with dividing power into different branches, state governments al…
- Legislative branch checking another branch: The legislative branch voting to impeach, or charge with a crime, and remove a judge from office - Executive branch checking another …
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solve for x and graph the solution. x(x - 1) ≤ 0 plot the endpoints. se…
The solution to the inequality \(x(x - 1)\leq0\) is \(0\leq x\leq1\). To graph this, plot closed circles at \(x = 0\) and \(x = 1\) and draw a line segment connecting them on the …
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look at this graph: graph of a parabola with vertex at (0,0) what is th…
0
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question 5 of 10 what is the difference between a debit card and a cash…
D. A cash card is not tied to a bank account.
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look at this graph: graph of a parabola what is the minimum value of th…
-10
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question 2 of 10 what is a limitation of online banking? a. ability to …
D. High risk of identity theft
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what is the range of this quadratic function? options: {y|y ≥ 1} {y|y ≥…
\(\{y|y\geq1\}\)
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find all y-intercepts and x-intercepts of the graph of the function. $f…
y - intercept(s): \( 0 \) x - intercept(s): \( -3, 0, 2 \)
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what is the range of this quadratic function? options: {y|y ≥ -8} {y|y …
$\{y|y\geq - 8\}$
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8. if the graph of a polynomial function has 3 turning points, what is …
4
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question 6 of 10 kent and jodi both found the sum of two 4-digit number…
C. 100
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what is the domain of this quadratic function? options: {x|x ≤ 3} {x|x …
all real numbers
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4. a quadratic function is a polynomial function of degree ______.
2
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the graph of a function is shown on the coordinate plane below. identif…
\(-\frac{3}{2}\)
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question 2 of 10 which of the following examples is an error of additio…
C. \( 3415 + 2174 = 5589 \)
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4) solve the system of equations graphically. y = 2(x - 1)² - 3 y = -2x…
### Problem 4: # Explanation: ## Step 1: Analyze the first equation \( y = 2(x - 1)^2 - 3 \) This is a quadratic equation in vertex form \( y = a(x - h)^2 + k \), where \( a = 2 \…
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7. what is the graph of $y = -4x - 1$?
To graph \( y=-4x - 1 \), plot the y - intercept at \( (0,-1) \). Then, using the slope \( - 4 \) (rise - 4, run 1 or rise 4, run - 1), find another point and draw a straight line…
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15. serge and a friend are throwing a paper airplane to each other. the…
a) The quadratic function is \(y = 0.08(x - 2.5)^{2}+0.5\) (or \(y=0.08x^{2}-0.4x + 1\)) b) The height when \(x = 1\) is \(0.68\) m (or using the vertex form: \(y = 0.08(1 - 2.5)^…
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what is the range of this quadratic function? options: {y|y ≥ 1} {y|y ≥…
\(\{y|y\geq1\}\)
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answer the questions below to determine what kind of function is depict…
This function is an exponential function because ratios of successive y - values are the same.
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look at this graph: graph of a parabola what is the minimum value of th…
-10
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answer the questions below to determine what kind of function is depict…
This function is \(\boldsymbol{\text{quadratic}}\) because the second differences are constant.
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look at this graph: graph of a parabola opening upwards with vertex at …
0
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what is the range of this quadratic function? the graph is a parabola o…
\(\{y|y\leq6\}\)
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answer the questions below to determine what kind of function is depict…
the second differences are constant
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answer the questions below to determine what kind of function is depict…
none of the above