Analysis
Grenzwerte, Ableitungen, Optimierung und Funktionsverhalten.
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evaluate the following logarithmic expression without the use of a calc…
\(-3\) (or as a fraction \(\frac{-3}{1}\))
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indicate which of the following four graphs is the correct graph of thi…
The graph in the bottom - left (the third graph when counting from the top - left: first row left, first row right, second row left, second row right)
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given $g(x) = -3x + 2$, find $g(2)$. answer attempt 1 out of 2
-4
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which function is the inverse of $f(x) = -5x - 4$? $f^{-1}(x) = 4x + 4$…
\( f^{-1}(x) = -\frac{1}{5}x - \frac{4}{5} \)
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the function $f(x) = 5x^3 - 7x^2 - 45x + 63$ has at least one integer r…
The roots of the function \( f(x) = 5x^3 - 7x^2 - 45x + 63 \) are \( -3 \), \( 3 \), and \( \frac{7}{5} \).
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find an equation of the line graphed. write the equation in standard fo…
A. \(3x + 4y=-14\)
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is the function v(x) even, odd, or neither? even odd neither
even
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use the labeled point to write a point - slope form for the line. the p…
\(y - 1=-2(x + 2)\)
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given the function $f(x) = x^2 + 11$, find the indicated values. a) $f(…
132
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write a function in any form that would match the graph shown below. an…
\(f(x)=-\frac{1}{2}(x + 2)^{2}(x - 3)\) (or the expanded form \(f(x)=-\frac{1}{2}x^{3}-\frac{1}{2}x^{2}+4x + 6\))
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the function $y = f(x)$ is graphed below. what is the average rate of c…
7
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while being deflated, a hot - air balloon loses 300 cubic meters of air…
\( y = -100x + 1500 \)
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identify whether the graph of the function $f(x)$ shown below is even, …
even (because its graph is symmetric about the \( y \)-axis, satisfying \( f(-x) = f(x) \))
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in the function rule, y = 4x - 7, what is y when x = 3? y = ?
5
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begin by graphing f(x) = \\log_{2}x. then use transformations of this g…
Vertical Asymptote: \( x = -5 \) Domain: \( (-5, \infty) \) Range: \( (-\infty, \infty) \)
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a passenger is riding a ferris wheel. the graph shows the height, in fe…
\( h(t)=-20\cos(3\pi t)+25 \) So the boxes are filled as 20, 3, and 25.
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which of these relations are functions? select all that apply.
The Top - Left Graph, The Bottom - Left Graph, The Bottom - Right Graph
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the following figure shows the entire graph of a relationship. does the…
A. Yes
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write the following sum as a single logarithm. assume all variables are…
$\frac{5}{2}$
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like the federal government, each state has its own constitution outlin…
- A preamble, or introduction, that states the goals of the constitution: Oregon’s Constitution: We the people of the state of Oregon to the end that justice be established, order…
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the following function is one - to - one. find the inverse of the funct…
\( f^{-1}(x)=\frac{x - 3}{2} \) (or \( \frac{1}{2}x-\frac{3}{2} \))
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8. find an nth-degree polynomial function with real coefficients satisf…
\(x^3 - 3x^2 + 7x + 75\)
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three functions are given below. for each, decide whether it is an even…
- For \( f(x)=\frac{1}{9x^{3}} \): Odd - For \( g(x)=\sqrt[3]{4x^{2}} \): Even - For \( h(x)=x|x + 3| \): Neither
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write the improper fraction below as a mixed number. please enter the w…
Whole Number: 6 Fraction: \(\frac{2}{7}\)
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give the domain and the range of the function whose graph is shown to t…
\([-6, 8]\)
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for the function defined as follows, find a. f(x + h), b. f(x + h) - f(…
\( \frac{-2}{x(x + h)} \)
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what is the equation of this linear function? y = ?x +
The equation of the linear function is \(y = - 2x-2\) (the slope is \(-2\) and the y - intercept is \(-2\), so filling in the blanks: the first blank is \(-2\) and the second blan…
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31. \\(\\frac{2}{4 - \\sqrt{3}}\\)
\(\frac{8 + 2\sqrt{3}}{13}\)
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tell whether each graph is a function and justify your answer. which gr…
Graph B is a function because each x - value (time) corresponds to exactly one y - value (distance). Graph A is not a function. Graph A is not a good representation of a real - wo…
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5 select the correct answer. what is the slope of the line represented …
B. -3
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the domain of u (x) is the set of all real values except 0 and the doma…
The bottom - left option: \(u(x) eq0\) and \(v(x) eq2\)
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a polynomial function has a root of −6 with multiplicity 3 and a root o…
The graph on the Top - Left (the first graph among the four)
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scientific operations subtract these scientific notation numbers and gi…
\(5\times10^8\)
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some americans argue that only colonial assemblies can tax colonists. t…
1. Top - left light blue "Action" box: Match with "Some Americans argue that only colonial assemblies can tax colonists" 2. Bottom - left light blue "Action" box (above Tea Act): …
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scientific operations subtract these scientific notation numbers and gi…
\(5.5\times10^8\)
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graph this function: y = |6x| - 8 click to plot the vertex first.
The vertex of the function \( y = |6x|-8 \) is at \((0, - 8)\), and the graph is a V - shaped graph opening upwards (since \( a = 6>0 \)) with the vertex at \((0, -8)\) and passin…
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epts of the following function. write your o select the appropriate num…
x - intercept: \( x=-9 \) (or the point \((-9,0)\)), y - intercept: \( y = \frac{27}{2}\) (or the point \((0,\frac{27}{2})\))
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find all horizontal asymptotes of the following function. $f(x) = \\fra…
The horizontal asymptote is \(y = 0\)
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graph this function: $y = |-4x| - 7$ click to plot the vertex first.
The vertex of the function \( y = |-4x| - 7 \) is at the point \((0, -7)\), so we plot the vertex at \((0, -7)\) on the coordinate grid.
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graph this function: y = 3|x| - 2 click to plot the vertex first. (grap…
The vertex of the function \( y = 3|x| - 2 \) is at the point \((0, -2)\). To graph the function, first plot \((0, -2)\), then use the slope of 3 for \( x \geq 0 \) and -3 for \( …
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2025 semester 1 exam review part 1 determine the value of f(-6) in the …
53
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what are the intercepts of the function? $f(x) = 4x + 4$ - the x - inte…
The x-intercept is (2, 0) and the y-intercept is (0, 4) (the first option, assuming the function is \( f(x) = -2x + 4 \) or there was a sign error in the function display).
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section 8 why might the united states have been interested in supportin…
The United States was interested in supporting new Latin American nations in the early 1800s for several reasons: 1. **Geopolitical/Strategic**: To limit European (especially Span…
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score on last try: 0.8 of 2 pts. see details for more. next question ge…
- \( y = 2(1.27)^x \): c. blue (B) - \( y = 3(1.27)^x \): b. green (G) - \( y = 2(1.48)^x \): e. orange (O) - \( y = 2(0.71)^x \): a. red (R) - \( y = 2(0.83)^x \): d. black (K)
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Question was provided via image upload.
$\frac{5}{6}$
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question 58 (2 points) the craft guilds of the european middle ages wer…
c) to limit competition by only allowing guild members to establish shops in a particular town.
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given the following function using the techniques of shifting, stretchi…
B. The graph of \( y = x^3 \) should be horizontally shifted to the left by 2 units and shifted vertically up by 5 units. ### Part 2: Filling Coordinates
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if you were to graph a line with a slope of \\(\\frac{3}{2}\\) that int…
4
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china (dynasties) yuan dynasty ______ ______ started the yuan dynasty. …
### Yuan Dynasty - ____ ____ started the Yuan Dynasty: Kublai Khan - The Yuan Dynasty is run by the ____ people: Mongols - Kublai Khan kept control of China by appointing ____ to …
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multiple-choice question is $y = \\frac{4}{3}x - 5$ parallel to $4x - 3…
yes (the option with "yes")
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question the function $f(x)$ is a quadratic function and a limited tabl…
\(f(x) = x^2 - 1\)
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an egg is dropped from a height of 90 ft. if acceleration due to gravit…
2.4 s
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polynomial description/table to standard score: 0/3 penalty: 1 off ques…
\( f(x)=x^3 + 2x^2 - 5x - 6 \)
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Question was provided via image upload.
Question 6: (1) exercising the power of judicial review Question 7: (3) The executive branch had no limits on its authority
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3. through (2, 0) and (4, 4) which shows the correct way to find the sl…
B. \( \frac{4 - 0}{4 - 2} \) (assuming the second option is labeled as B, with the expression \( \frac{4 - 0}{4 - 2} \))
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write a function in any form that would match the graph shown below. an…
\(\frac{1}{4}(x + 4)(x - 8)\) (or \(\frac{1}{4}x^{2}-x - 8\) or \(\frac{1}{4}(x - 2)^{2}-9\))
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the profitability, p, of a popular restaurant franchise can be modeled …
5 months (Note: There is a slight ambiguity as at \( t = 5 \) the profit is zero, and it becomes positive for \( t>5 \), but among the given options, 5 months is the closest as it…
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1. graph the function $f(x) = -(x + 2)^3$ and find the following featur…
### Problem 1: Function \( f(x) = -(x + 2)^3 \) #### a. Point of Inflection The parent function of a cubic function \( y = x^3 \) has a point of inflection at \( (0, 0) \). For \(…
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which function is the inverse of $f(x) = -5x - 4$? $f^{-1}(x) = 4x + 4$…
\( f^{-1}(x) = -\frac{1}{5}x - \frac{4}{5} \)
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question write a function in any form that would match the graph shown …
\( f(x)=25(x + 6)(x + 1)(x - 2) \) (or the expanded form \( 25x^{3}+125x^{2}-200x - 300 \))
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21. choose the best answer. since there are no time limits on my academ…
A. may go (assuming the first option is "may go", as per the visible text order)
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sign chart from factored polynomial (level 2) question identify the rea…
$\frac{1}{3}, 5$
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sign chart from factored polynomial (level 2) question identify the rea…
\( \frac{1}{3}, 5 \)
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sign chart from factored polynomial (level 2) score: 1/3 penalty: 1 off…
-2, 1/2
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4. (51 ÷ 3) + (21 ÷ 7)
20
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answer as $x \ ightarrow \\infty, y \ ightarrow \\infty$ and as $x \ ig…
C. as \(x ightarrow \infty, y ightarrow -\infty\) and as \(x ightarrow -\infty, y ightarrow \infty\) (assuming the third option is labeled C, but in the given options, the third o…
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2. 7 + (42 ÷ 6) × 5
\(42\)
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question what is the slope of the line that goes through the points (-2…
The correct answer is the option with \( m = -\frac{3}{2} \) (assuming the second option is \( m = -\frac{3}{2} \), e.g., if the options are: A. \( m=\frac{3}{2} \) B. \( m = -\fr…
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graph this function: y = 5|x| - 7 click to plot the vertex first. (grap…
The vertex of the function \(y = 5|x|-7\) is at the point \((0,-7)\), so we plot the point \((0,-7)\) on the graph.
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question warm-up consider the functions shown on the graph. select the …
For "Line * has a negative slope", the answer is Line B. For "Line * has a positive slope", the answer is Line A (or Line C, depending on graph details, but Line A is a common pos…
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what is the solution of \\(\\sqrt{x + 2} - 15 = -3\\)? \\(x = 142\\) \\…
\( x = 142 \)
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what is the slope of the line that passes through the points (-1, -7) a…
-3
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which function is undefined for $x = 0$? $y = \\sqrt{x + 2}$ $y = \\sqr…
La función que está indefinida para \( x = 0 \) es \( y = \sqrt{x - 2} \) (la tercera opción en la lista, la función \( y = \sqrt{x - 2} \)).
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find the following angle using your calculator. round to the nearest de…
18
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what is the slope of the line that passes through the points (9, 4) and…
\( -\frac{5}{6} \)
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practice 3 - inverse trig score: 6/33 answered: 6/22 question 7 you onl…
G = 65.06°
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the temperature, f(t) of a cup of coffee, in degrees celsius, after t m…
32 (or around 32, depending on the graph's precision)
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you only have 1 try on each version of this problem use a calculator to…
A. A = 29.34 degrees
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2 range 3 inconsistent equation 4 even function 5 odd function 6 extran…
2. Range: the set of all \( y \) values 3. Inconsistent Equation: (No match in given options, but proceed with others) 4. Even function: (No match in given options) 5. Odd functio…
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question 3 exponential function evaluation given the function $f(x) = 9…
\( f(-10) \approx 605.79 \)
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assignment 6.1 exponential functions due oct 28 by 11:59pm points 10 su…
\( f(3)=\frac{1}{125} \), \( f(4)=\frac{1}{625} \)
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5. there are 7 ½ bottles of orange juice in the restaurants fridge. if …
\(13\frac{3}{4}\) quarts
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4. multiply or divide the fractions. write answers in simplest form. $5…
\(6\frac{7}{8}\) (or \(\frac{55}{8}\))
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read the text. a few months ago, my cat, daffodil, was driving me up th…
The toy is very effective and engaging, but it can cause pets to lose interest in other activities. (Wait, correction: Wait, re - evaluating, the correct option is the second one …
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let $f(x) = \\frac{2x^2 - 1x - 3}{2x^2 - 5x - 12}$ this function has: 1…
\((0,\frac{1}{4})\) ### 2) x - intercepts
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(x) = \\frac{2x^2 - 1x - 3}{2x^2 - 5x - 12} unction has: intercept at t…
s #### For the rational function: - y - intercept: \( (0,\frac{1}{4}) \) - x - intercepts: \( (-1,0),(\frac{3}{2},0) \) - Vertical asymptotes: \( x = -\frac{3}{2},x = 4 \) - Horiz…
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the table below shows some input and output values for a function named…
A. \( F(n) = 3n + 5 \)
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question 14 of 22 which of the following functions is graphed below? a.…
B. \( y = |x - 8| + 2 \)
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1.6.3 test (cst): functions which of the following values are in the ra…
B. -4, F. -1
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question 10 of 22 is the following graph a linear function, a nonlinear…
D. Nonlinear function and a relation
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question 9 of 22 which of the following is the equation of a line paral…
B. \( 4x - y = 19 \)
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question 8 of 22 which of the following would be a good name for the fu…
B. Energy(weight)
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1: find the slope: (3, 19), (-1, -13) 2: find the slope: graph of a lin…
4
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the graph of a function is shown below select the correct description. …
D. Section B of the graph is nonlinear and increasing
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which scenario best represents the graph? a the student starts swimming…
D. The table is not a function because for the input value of 2, there is more than one output value.
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does this graph show a function? explain how you know. a. yes; there ar…
B. Yes; the graph passes the vertical line test.
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question 2 of 22 which of the following functions is graphed below? (gr…
D. \( y = \lfloor x floor - 6 \)
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question 1 of 22 ( h(x) = 3x - 4 ) what is ( h(6) )? a. 22 b. 5 c. 14 d…
C. 14
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1. (5pts) using the fact that the argument of the cosine function must …
The units of \( a \) are \( \frac{1}{\text{time}^2} \) (or in SI units, \( \text{s}^{-2} \)). If we consider the physical context of simple harmonic motion, and relate it to accel…
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multiply. 3.29 × 5
16.45