Question 1

What is the effect of the translation $f(x-3 a)+b$ on the graph of the function $f(x)$ ? Assume $a$ and $b$ are positive constants.

Accepted Answer

A)  Shift right $3 a$, then up $b$. 
B)  Shift right $3 a$, then down $b$. 
C)  Shift left $3 a$, then up $b$. 
D)  Shift left $3 a$, then down $b$. 
A)  Shift right $3 a$, then up $b$. 
B)  Shift right $3 a$, then down $b$. 
C)  Shift left $3 a$, then up $b$. 
D)  Shift left $3 a$, then down $b$.

Question 2

Let   Evaluate:
a) $f(-1)$
b) $f(2)$
c) $f(5)$

Accepted Answer

The answer of Let   Evaluate:
a) $f(-1)$
b) $f(2)$
c) $f(5)$...

Question 3

It is possible for the graph of a function to be increasing and concave down on the interval $(-\infty, 2)$ and increasing and concave up on the interval $(2, \infty)$.

Accepted Answer

A) True 
 B)False

Question 4

For $f(x)=x^{2}-3 x+4$, what is $f\left(\frac{1}{x-2}\right)$ ?

Accepted Answer

A)  $\frac{4 x^{2}-19 x+23}{x^{2}-4 x+4}$ 
B)  $\frac{4 x^{2}-19 x-9}{x^{2}-4 x+4}$ 
C)  $\frac{4 x^{2}-13 x-9}{x^{2}-4 x+4}$ 
D)  $\frac{4 x^{2}-13 x+11}{x^{2}-4 x+4}$ 
A)  $\frac{4 x^{2}-19 x+23}{x^{2}-4 x+4}$ 
B)  $\frac{4 x^{2}-19 x-9}{x^{2}-4 x+4}$ 
C)  $\frac{4 x^{2}-13 x-9}{x^{2}-4 x+4}$ 
D)  $\frac{4 x^{2}-13 x+11}{x^{2}-4 x+4}$

Question 5

What is the domain of $y=h(x)=\frac{4}{\sqrt{x+a}}$, where $a$ is a constant?

Accepted Answer

A)  $y>0$ 
B)  $x>-a$ 
C)  $y>4$ 
D)  $x>a$ 
A)  $y>0$ 
B)  $x>-a$ 
C)  $y>4$ 
D)  $x>a$

Question 6

Graph $f(x)=(x-2)^{3}-3$ and use the graph to give an estimate of the largest interval on which the function is concave up.

Accepted Answer

@#IMG-DLM& 
The func

Question 7

Let $I(x)$ be the federal income tax paid based on a total taxable income of $x$ dollars. The value of $I(x)$ is approximated by the graph in the following figure. In this context, which of the following is greater?

Accepted Answer

A)  $ I(x+800)$ 
B)  $ I(x)+800$ 
A)  $ I(x+800)$ 
B)  $ I(x)+800$

Question 8

Let  
a) Evaluate $f(-5)$
b) Evaluate $f(-3)$
c) Evaluate $f(2)$
d) Evaluate $f(10)$

Accepted Answer

a) @#LAT-DLM& is not defined s

Question 9

In the following graph, is $n$ a function of $m$ ?

Accepted Answer

A) True 
 B)False

Question 10

$A=f(s)=s^{2}$ is the area of a square of side length $s$. What does $f(36)$ mean in terms of the square?

Accepted Answer

A)  $f(36)=1296$, the area of a square of side length 36 . 
B)  $ f(36)=6$, the area of a square of side length 6 . 
C)  $f(36)=1296$, the area of a square of side length 1296 . 
D)  $f(36)=6$, the area of a square of side length 6 . 
A)  $f(36)=1296$, the area of a square of side length 36 . 
B)  $ f(36)=6$, the area of a square of side length 6 . 
C)  $f(36)=1296$, the area of a square of side length 1296 . 
D)  $f(36)=6$, the area of a square of side length 6 .

Question 11

Which scenario below best matches the following graph?

Accepted Answer

A)  The cost of a new car is increasing at an ever increasing rate. 
B)  The annual profits made by Upper Midwest Industries are decreasing at a higher rate each year. 
C)  The medication is slowing the rise of a child's temperature. 
D)  The price of memory chips isn't decreasing as quickly as it used to be. 
A)  The cost of a new car is increasing at an ever increasing rate. 
B)  The annual profits made by Upper Midwest Industries are decreasing at a higher rate each year. 
C)  The medication is slowing the rise of a child's temperature. 
D)  The price of memory chips isn't decreasing as quickly as it used to be.

Question 12

Let $y=p(x)$ be defined by the following graph, and let $y_{0}=p\left(x_{0}\right)$ and $y_{1}=p\left(x_{1}\right)$.
   
Arrange the following values in order from least to greatest by placing a " 1 " next to the least, a " 2 " next to the next least, etc.
A. 0
B. $y_{0}$
C. $x_{0}$

Accepted Answer

Part A: 2

Question 13

A model rocket is launched from the roof of a building. For height $h$, in meters, and time $t$, in seconds, after the rocket is launched, the height of the rocket above the ground is given by $h=f(t)=-4.9 t^{2}+42 t+24$. Is the graph of $f(t)$ concave up or concave down?

Accepted Answer

The answer of A model rocket is launched from the...

Question 14

Does the graph of $y=3 x^{2}-5 x$ appear to be concave up, concave down, or neither?

Accepted Answer

The answer of Does the graph of $y=3 x^{2}-5 x$...

Question 15

The car slowed down steadily. Which of the following tables of values could represent $f(t)=$ velocity at time $t$ ?

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
E) 
  
A) 
  
B) 
  
C) 
  
D) 
  
E)

Question 16

Suppose $g(x)=\frac{1-11 x}{3}$ and suppose that $f$ is an invertible function such that
$f^{-1}(x)=3(x-5)$. Find $f(g(x))$ and
write it in the form $a x+b$.

Accepted Answer

The answer of Suppose $g(x)=\frac{1-11 x}{3}$ and suppose that $f$...

Question 17

Solve $f(x)=\sqrt{x+6}=5$ for $x$.

Accepted Answer

The answer of Solve $f(x)=\sqrt{x+6}=5$ for $x$....

Question 18

The graph of $f$ is concave down for $-2<x<9$. Which of the following is the largest?

Accepted Answer

A)  $\frac{f(5)-f(-1)}{5+1}$ 
B)  $\frac{f(8)-f(6)}{8-6}$ 
A)  $\frac{f(5)-f(-1)}{5+1}$ 
B)  $\frac{f(8)-f(6)}{8-6}$

Question 19

Let $f(x)=\frac{x}{3}+3$. Complete the table.

Accepted Answer

The answer of Let $f(x)=\frac{x}{3}+3$. Complete the table.
  ...

Question 20

Find the domain and range of $h(x)=x^{2}+5$ if $h(x)$ represents the number of hours it takes a farmer to fertilize a square field with side length $x$ (in thousands of feet).

Accepted Answer

A)  Domain: $0 \leq x<\infty$, Range: $5 \leq h(x)<\infty$ 
B)   
C)    
D)  Domain: $0 \leq x<\infty$, Range: $0 \leq h(x) \leq 5$ 
E)  Domain: $0 \leq x<5$, Range: $0 \leq h(x)<\infty$ 
A)  Domain: $0 \leq x<\infty$, Range: $5 \leq h(x)<\infty$ 
B)   
C)    
D)  Domain: $0 \leq x<\infty$, Range: $0 \leq h(x) \leq 5$ 
E)  Domain: $0 \leq x<5$, Range: $0 \leq h(x)<\infty$

What is the effect of the translation $f(x-3 a)+b$ on the graph of the function $f(x)$ ? Assume $a$ and $b$ are positive constants.

Let Evaluate: a) $f(-1)$ b) $f(2)$ c) $f(5)$

It is possible for the graph of a function to be increasing and concave down on the interval $(-\infty, 2)$ and increasing and concave up on the interval $(2, \infty)$ .

For $f(x)=x^{2}-3 x+4$ , what is $f\left(\frac{1}{x-2}\right)$ ?

What is the domain of $y=h(x)=\frac{4}{\sqrt{x+a}}$ , where $a$ is a constant?

Graph $f(x)=(x-2)^{3}-3$ and use the graph to give an estimate of the largest interval on which the function is concave up.

Let $I(x)$ be the federal income tax paid based on a total taxable income of $x$ dollars. The value of $I(x)$ is approximated by the graph in the following figure. In this context, which of the following is greater?

Let a) Evaluate $f(-5)$ b) Evaluate $f(-3)$ c) Evaluate $f(2)$ d) Evaluate $f(10)$

In the following graph, is $n$ a function of $m$ ?

$A=f(s)=s^{2}$ is the area of a square of side length $s$ . What does $f(36)$ mean in terms of the square?

Which scenario below best matches the following graph?

A model rocket is launched from the roof of a building. For height $h$ , in meters, and time $t$ , in seconds, after the rocket is launched, the height of the rocket above the ground is given by $h=f(t)=-4.9 t^{2}+42 t+24$ . Is the graph of $f(t)$ concave up or concave down?

Does the graph of $y=3 x^{2}-5 x$ appear to be concave up, concave down, or neither?

The car slowed down steadily. Which of the following tables of values could represent $f(t)=$ velocity at time $t$ ?

Suppose $g(x)=\frac{1-11 x}{3}$ and suppose that $f$ is an invertible function such that $f^{-1}(x)=3(x-5)$ . Find $f(g(x))$ and write it in the form $a x+b$ .

Solve $f(x)=\sqrt{x+6}=5$ for $x$ .

The graph of $f$ is concave down for $-2<x<9$ . Which of the following is the largest?

Let $f(x)=\frac{x}{3}+3$ . Complete the table. $Let f(x)=\frac{x}{3}+3 . Complete the table.$

Find the domain and range of $h(x)=x^{2}+5$ if $h(x)$ represents the number of hours it takes a farmer to fertilize a square field with side length $x$ (in thousands of feet).

Linear Functions and Change

Quadratic Functions

Exponential Functions

Logarithmic Functions

Transformations of Functions and Their Graphs

Trigonometry and Periodic Functions

Triangle Trigonometry and Polar Coordinates

Trigonometric Identities, Models, and Complex Numbers

Compositions, Inverses, and Combinations of Functions

Polynomial and Rational Functions

Vectors and Matrices

Sequences and Series

Parametric Equations and Conic Sections

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Exam 2: Functions

What is the effect of the translation f(x−3a)+bf(x-3 a)+bf(x−3a)+b on the graph of the function f(x)f(x)f(x) ? Assume aaa and bbb are positive constants.

Let Evaluate: a) f(−1)f(-1)f(−1) b) f(2)f(2)f(2) c) f(5)f(5)f(5)

It is possible for the graph of a function to be increasing and concave down on the interval (−∞,2)(-\infty, 2)(−∞,2) and increasing and concave up on the interval (2,∞)(2, \infty)(2,∞) .

For f(x)=x2−3x+4f(x)=x^{2}-3 x+4f(x)=x2−3x+4 , what is f(1x−2)f\left(\frac{1}{x-2}\right)f(x−21​) ?

What is the domain of y=h(x)=4x+ay=h(x)=\frac{4}{\sqrt{x+a}}y=h(x)=x+a​4​ , where aaa is a constant?

Graph f(x)=(x−2)3−3f(x)=(x-2)^{3}-3f(x)=(x−2)3−3 and use the graph to give an estimate of the largest interval on which the function is concave up.

Let I(x)I(x)I(x) be the federal income tax paid based on a total taxable income of xxx dollars. The value of I(x)I(x)I(x) is approximated by the graph in the following figure. In this context, which of the following is greater?

Let a) Evaluate f(−5)f(-5)f(−5) b) Evaluate f(−3)f(-3)f(−3) c) Evaluate f(2)f(2)f(2) d) Evaluate f(10)f(10)f(10)

In the following graph, is nnn a function of mmm ?

A=f(s)=s2A=f(s)=s^{2}A=f(s)=s2 is the area of a square of side length sss . What does f(36)f(36)f(36) mean in terms of the square?

Which scenario below best matches the following graph?

Does the graph of y=3x2−5xy=3 x^{2}-5 xy=3x2−5x appear to be concave up, concave down, or neither?

The car slowed down steadily. Which of the following tables of values could represent f(t)=f(t)=f(t)= velocity at time ttt ?

Suppose g(x)=1−11x3g(x)=\frac{1-11 x}{3}g(x)=31−11x​ and suppose that fff is an invertible function such that f−1(x)=3(x−5)f^{-1}(x)=3(x-5)f−1(x)=3(x−5) . Find f(g(x))f(g(x))f(g(x)) and write it in the form ax+ba x+bax+b .

Solve f(x)=x+6=5f(x)=\sqrt{x+6}=5f(x)=x+6​=5 for xxx .

The graph of fff is concave down for −2<x<9-2<x<9−2<x<9 . Which of the following is the largest?

Let f(x)=x3+3f(x)=\frac{x}{3}+3f(x)=3x​+3 . Complete the table.

Find the domain and range of h(x)=x2+5h(x)=x^{2}+5h(x)=x2+5 if h(x)h(x)h(x) represents the number of hours it takes a farmer to fertilize a square field with side length xxx (in thousands of feet).

Linear Functions and Change

Quadratic Functions

Exponential Functions

Logarithmic Functions

Transformations of Functions and Their Graphs

Trigonometry and Periodic Functions

Triangle Trigonometry and Polar Coordinates

Trigonometric Identities, Models, and Complex Numbers

Compositions, Inverses, and Combinations of Functions

Polynomial and Rational Functions

Vectors and Matrices

Sequences and Series

Parametric Equations and Conic Sections

Filters

What is the effect of the translation $f(x-3 a)+b$ on the graph of the function $f(x)$ ? Assume $a$ and $b$ are positive constants.

Let Evaluate: a) $f(-1)$ b) $f(2)$ c) $f(5)$

It is possible for the graph of a function to be increasing and concave down on the interval $(-\infty, 2)$ and increasing and concave up on the interval $(2, \infty)$ .

For $f(x)=x^{2}-3 x+4$ , what is $f\left(\frac{1}{x-2}\right)$ ?

What is the domain of $y=h(x)=\frac{4}{\sqrt{x+a}}$ , where $a$ is a constant?

Graph $f(x)=(x-2)^{3}-3$ and use the graph to give an estimate of the largest interval on which the function is concave up.

Let $I(x)$ be the federal income tax paid based on a total taxable income of $x$ dollars. The value of $I(x)$ is approximated by the graph in the following figure. In this context, which of the following is greater?

Let a) Evaluate $f(-5)$ b) Evaluate $f(-3)$ c) Evaluate $f(2)$ d) Evaluate $f(10)$

In the following graph, is $n$ a function of $m$ ?

$A=f(s)=s^{2}$ is the area of a square of side length $s$ . What does $f(36)$ mean in terms of the square?

Does the graph of $y=3 x^{2}-5 x$ appear to be concave up, concave down, or neither?

The car slowed down steadily. Which of the following tables of values could represent $f(t)=$ velocity at time $t$ ?

Suppose $g(x)=\frac{1-11 x}{3}$ and suppose that $f$ is an invertible function such that $f^{-1}(x)=3(x-5)$ . Find $f(g(x))$ and write it in the form $a x+b$ .

Solve $f(x)=\sqrt{x+6}=5$ for $x$ .

The graph of $f$ is concave down for $-2<x<9$ . Which of the following is the largest?

Let $f(x)=\frac{x}{3}+3$ . Complete the table. $Let f(x)=\frac{x}{3}+3 . Complete the table.$

Find the domain and range of $h(x)=x^{2}+5$ if $h(x)$ represents the number of hours it takes a farmer to fertilize a square field with side length $x$ (in thousands of feet).