Question 1

Find the $x$ and $y$ intercepts. If no $x$ intercepts exist, state so.
-$f(x)=x^{2}-1 x-20$

Accepted Answer

A)  $x$-intercepts: $-5,5 ; y$-intercept: 20 
B)  $x$-intercepts: $-4,5$; y-intercept: -20 
C)  $x$-intercepts: $-4,6 ; y$-intercept: 20 
D)  $x$-intercepts: 4,5 ; y-intercept: -20 
A)  $x$-intercepts: $-5,5 ; y$-intercept: 20 
B)  $x$-intercepts: $-4,5$; y-intercept: -20 
C)  $x$-intercepts: $-4,6 ; y$-intercept: 20 
D)  $x$-intercepts: 4,5 ; y-intercept: -20

Question 2

Graph the rational function.
-$f(x)=\frac{x+1}{x}$

Accepted Answer

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

Question 3

Find the $x$ and $y$ intercepts. If no $x$ intercepts exist, state so.
-$f(x)=(x+2)^{2}-16$

Accepted Answer

A)  $x$-intercepts: $2,-6 ; y$-intercept: -16 
B)  $x$-intercepts: $-2,6 ; y$-intercept: -16 
C)  $x$-intercepts: $2,-6 ; y$-intercept: -12 
D)  $x$-intercepts: $-2,6 ; y$-intercept: -12 
A)  $x$-intercepts: $2,-6 ; y$-intercept: -16 
B)  $x$-intercepts: $-2,6 ; y$-intercept: -16 
C)  $x$-intercepts: $2,-6 ; y$-intercept: -12 
D)  $x$-intercepts: $-2,6 ; y$-intercept: -12

Question 4

Solve the problem.
-An open-top box is to be made by cutting small identical squares from each corner of a 12-by-12-in. sheet of tin and bending up the sides. If each corner square is $x$ inches on a side, the volume of the box (in in. ${ }^{3}$ ) is given by:
$$\mathrm{V}(\mathrm{x})=144 \mathrm{x}-48 \mathrm{x}^{2}+4 \mathrm{x}^{3}$$
By sketching the graph of $\mathrm{V}(\mathrm{x})$, estimate the value of $\mathrm{x}$ that maximizes the volume of the box.

Accepted Answer

A)  1.5 in. 
B)  2 in. 
C)  6 in. 
D)  3 in. 
A)  1.5 in. 
B)  2 in. 
C)  6 in. 
D)  3 in.

Question 5

Determine whether the following rule defines $y$ as a function of $x$.
-The $x$, y pairs: $\{(-7,-5),(-7,-3),(-1,1),(6,-7),(7,5)\}$

Accepted Answer

A) True 
 B)False

Question 6

Write the word or phrase that best completes each statement or answers the question.
-The chart below shows the profit-volume graphs of a single-product company for 1995 and 1996. Assume that unit variable costs were identical in both years. How did the fixed costs and unit sales price in 1996 compare with those in 1995 ?

Accepted Answer

Fixed cost was highe

Question 7

Graph the function.
-$y=[x]-1$

Accepted Answer

A)    
B)    
A)    
B)

Question 8

State the domain of the given function.
-$f(x)=\sqrt{-x-2}$

Accepted Answer

A)  $[2, \infty)$ 
B)  $[-2, \infty)$ 
C)  $(-\infty,-2]$ 
D)  $(-\infty, 2]$ 
A)  $[2, \infty)$ 
B)  $[-2, \infty)$ 
C)  $(-\infty,-2]$ 
D)  $(-\infty, 2]$

Question 9

Graph the piecewise linear function.
-$f(x)=\left\{\begin{array}{lr}-2, & x \geq 1 \ -x+4, & x<1\end{array}\right.$

Accepted Answer

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

Question 10

Graph the function.
-$f(x)=|x+5|$

Accepted Answer

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

Question 11

Graph the function.
-$y=1 x^{2}+3$

Accepted Answer

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

Question 12

Evaluate the function.
-Given that $f(x)=x^{3}-1.5 x^{2}+2.6 x-1$, find $f(4)$.

Accepted Answer

A)  49.4 
B)  64.1 
C)  76.6 
D)  28.6 
A)  49.4 
B)  64.1 
C)  76.6 
D)  28.6

Question 13

Give the equation of the horizontal asymptote of the rational function.
-$f(x)=\frac{9 x^{2}+9}{9 x^{2}-9}$

Accepted Answer

A)  None 
B)  $y=-9$ 
C)  $y=9$ 
D)  $y=1$ 
A)  None 
B)  $y=-9$ 
C)  $y=9$ 
D)  $y=1$

Question 14

Solve the problem.
-The cost (in dollars) of manufacturing $x$ items is given by:
$$C(x)=x^{3}-6 x^{2}+17 x$$
What is the cost of manufacturing 13 items?

Accepted Answer

A)  $\$ 1414$ 
B)  $\$ 1404$ 
C)  $\$ 1409$ 
D)  $\$ 1454$ 
A)  $\$ 1414$ 
B)  $\$ 1404$ 
C)  $\$ 1409$ 
D)  $\$ 1454$

Question 15

State the domain of the given function.
-$y=\frac{(x+3)(x-3)}{x^{2}+9}$

Accepted Answer

A)  $(-\infty, \infty)$ 
B)  $(-\infty, 3)$ or $(3, \infty)$ 
C)  $(3, \infty)$ 
D)  $(-\infty, 3)$ 
A)  $(-\infty, \infty)$ 
B)  $(-\infty, 3)$ or $(3, \infty)$ 
C)  $(3, \infty)$ 
D)  $(-\infty, 3)$

Question 16

Solve the problem.
-The manager of a CD store has found that if the price of a CD is $p(x)=61-\frac{x}{6}$, then $x C D$ will be sold. An expression for the total revenue from the sale of $\mathrm{x} \mathrm{CDs}$ is
$$R(x)=61 x-\frac{x^{2}}{6}$$
Find the number of CDs that will produce maximum revenue.

Accepted Answer

A)  223 
B)  163 
C)  183 
D)  366 
A)  223 
B)  163 
C)  183 
D)  366

Question 17

Graph the function.
-$y=2[x]$

Accepted Answer

A)    
B)    
A)    
B)

Question 18

Graph the piecewise linear function.
-$f(x)= \begin{cases}-1-x, & x \leq 2 \ 1-2 x, & x>2\end{cases}$

Accepted Answer

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

Question 19

Solve the problem.
-Suppose that the change in pressure of the oil in a reservoir can be approximated by:
$$P(x)=x^{3}-22 x^{2}+121 x$$
Where $x$ is time in years from the date of the first reading. Find $P(7)$.

Accepted Answer

A)  115 
B)  118 
C)  122 
D)  112 
A)  115 
B)  118 
C)  122 
D)  112

Question 20

Give the equation of the horizontal asymptote of the rational function.
-$g(x)=\frac{8-5 x}{5 x+1}$

Accepted Answer

A)  $y=\frac{8}{5}$ 
B)  $y=1$ 
C)  $y=-1$ 
D)  $y=0$ 
A)  $y=\frac{8}{5}$ 
B)  $y=1$ 
C)  $y=-1$ 
D)  $y=0$

Find the $x$ and $y$ intercepts. If no $x$ intercepts exist, state so. - $f(x)=x^{2}-1 x-20$

Graph the rational function. - $f(x)=\frac{x+1}{x}$ $Graph the rational function. - f(x)=\frac{x+1}{x}$

Find the $x$ and $y$ intercepts. If no $x$ intercepts exist, state so. - $f(x)=(x+2)^{2}-16$

Determine whether the following rule defines $y$ as a function of $x$ . -The $x$ , y pairs: $\{(-7,-5),(-7,-3),(-1,1),(6,-7),(7,5)\}$

Graph the function. - $y=[x]-1$

State the domain of the given function. - $f(x)=\sqrt{-x-2}$

Graph the piecewise linear function. - $f(x)=\left\{\begin{array}{lr}-2, & x \geq 1 \\ -x+4, & x<1\end{array}\right.$ $Graph the piecewise linear function. - f(x)=\left\{\begin{array}{lr}-2, & x \geq 1 \\ -x+4, & x<1\end{array}\right.$

Graph the function. - $f(x)=|x+5|$

Graph the function. - $y=1 x^{2}+3$ $Graph the function. - y=1 x^{2}+3$

Evaluate the function. -Given that $f(x)=x^{3}-1.5 x^{2}+2.6 x-1$ , find $f(4)$ .

Give the equation of the horizontal asymptote of the rational function. - $f(x)=\frac{9 x^{2}+9}{9 x^{2}-9}$

Solve the problem. -The cost (in dollars) of manufacturing $x$ items is given by: $C(x)=x^{3}-6 x^{2}+17 x$ What is the cost of manufacturing 13 items?

State the domain of the given function. - $y=\frac{(x+3)(x-3)}{x^{2}+9}$

Graph the function. - $y=2[x]$

Graph the piecewise linear function. - $f(x)= \begin{cases}-1-x, & x \leq 2 \\ 1-2 x, & x>2\end{cases}$ $Graph the piecewise linear function. - f(x)= \begin{cases}-1-x, & x \leq 2 \\ 1-2 x, & x>2\end{cases}$

Solve the problem. -Suppose that the change in pressure of the oil in a reservoir can be approximated by: $P(x)=x^{3}-22 x^{2}+121 x$ Where $x$ is time in years from the date of the first reading. Find $P(7)$ .

Give the equation of the horizontal asymptote of the rational function. - $g(x)=\frac{8-5 x}{5 x+1}$

Algebra and Equations

Graphs, Lines, and Inequalities

Exponential and Logarithmic Functions

Mathematics of Finance

Systems of Linear Equations and Matrices

Linear Programming

Sets and Probability

Counting, Probability Distributions, and Further Topics in Probability

Introduction to Statistics

Differential Calculus

Applications of the Derivative

Integral Calculus

Multivariate Calculus

Filters

Exam 3: Functions and Graphs

Find the xxx and yyy intercepts. If no xxx intercepts exist, state so. - f(x)=x2−1x−20f(x)=x^{2}-1 x-20f(x)=x2−1x−20

Graph the rational function. - f(x)=x+1xf(x)=\frac{x+1}{x}f(x)=xx+1​

Find the xxx and yyy intercepts. If no xxx intercepts exist, state so. - f(x)=(x+2)2−16f(x)=(x+2)^{2}-16f(x)=(x+2)2−16

Determine whether the following rule defines yyy as a function of xxx . -The xxx , y pairs: {(−7,−5),(−7,−3),(−1,1),(6,−7),(7,5)}\{(-7,-5),(-7,-3),(-1,1),(6,-7),(7,5)\}{(−7,−5),(−7,−3),(−1,1),(6,−7),(7,5)}

Graph the function. - y=[x]−1y=[x]-1y=[x]−1

State the domain of the given function. - f(x)=−x−2f(x)=\sqrt{-x-2}f(x)=−x−2​

Graph the piecewise linear function. - f(x)={−2,x≥1−x+4,x<1f(x)=\left\{\begin{array}{lr}-2, & x \geq 1 \\ -x+4, & x<1\end{array}\right.f(x)={−2,−x+4,​x≥1x<1​

Graph the function. - f(x)=∣x+5∣f(x)=|x+5|f(x)=∣x+5∣

Graph the function. - y=1x2+3y=1 x^{2}+3y=1x2+3

Evaluate the function. -Given that f(x)=x3−1.5x2+2.6x−1f(x)=x^{3}-1.5 x^{2}+2.6 x-1f(x)=x3−1.5x2+2.6x−1 , find f(4)f(4)f(4) .

Give the equation of the horizontal asymptote of the rational function. - f(x)=9x2+99x2−9f(x)=\frac{9 x^{2}+9}{9 x^{2}-9}f(x)=9x2−99x2+9​

Solve the problem. -The cost (in dollars) of manufacturing xxx items is given by: C(x)=x3−6x2+17xC(x)=x^{3}-6 x^{2}+17 xC(x)=x3−6x2+17x What is the cost of manufacturing 13 items?

State the domain of the given function. - y=(x+3)(x−3)x2+9y=\frac{(x+3)(x-3)}{x^{2}+9}y=x2+9(x+3)(x−3)​

Graph the function. - y=2[x]y=2[x]y=2[x]

Graph the piecewise linear function. - f(x)={−1−x,x≤21−2x,x>2f(x)= \begin{cases}-1-x, & x \leq 2 \\ 1-2 x, & x>2\end{cases}f(x)={−1−x,1−2x,​x≤2x>2​

Solve the problem. -Suppose that the change in pressure of the oil in a reservoir can be approximated by: P(x)=x3−22x2+121xP(x)=x^{3}-22 x^{2}+121 xP(x)=x3−22x2+121x Where xxx is time in years from the date of the first reading. Find P(7)P(7)P(7) .

Give the equation of the horizontal asymptote of the rational function. - g(x)=8−5x5x+1g(x)=\frac{8-5 x}{5 x+1}g(x)=5x+18−5x​

Algebra and Equations

Graphs, Lines, and Inequalities

Exponential and Logarithmic Functions

Mathematics of Finance

Systems of Linear Equations and Matrices

Linear Programming

Sets and Probability

Counting, Probability Distributions, and Further Topics in Probability

Introduction to Statistics

Differential Calculus

Applications of the Derivative

Integral Calculus

Multivariate Calculus

Filters

Find the $x$ and $y$ intercepts. If no $x$ intercepts exist, state so. - $f(x)=x^{2}-1 x-20$

Graph the rational function. - $f(x)=\frac{x+1}{x}$ $Graph the rational function. - f(x)=\frac{x+1}{x}$

Find the $x$ and $y$ intercepts. If no $x$ intercepts exist, state so. - $f(x)=(x+2)^{2}-16$

Determine whether the following rule defines $y$ as a function of $x$ . -The $x$ , y pairs: $\{(-7,-5),(-7,-3),(-1,1),(6,-7),(7,5)\}$

Graph the function. - $y=[x]-1$

State the domain of the given function. - $f(x)=\sqrt{-x-2}$

Graph the piecewise linear function. - $f(x)=\left\{\begin{array}{lr}-2, & x \geq 1 \\ -x+4, & x<1\end{array}\right.$ $Graph the piecewise linear function. - f(x)=\left\{\begin{array}{lr}-2, & x \geq 1 \\ -x+4, & x<1\end{array}\right.$

Graph the function. - $f(x)=|x+5|$

Graph the function. - $y=1 x^{2}+3$ $Graph the function. - y=1 x^{2}+3$

Evaluate the function. -Given that $f(x)=x^{3}-1.5 x^{2}+2.6 x-1$ , find $f(4)$ .

Give the equation of the horizontal asymptote of the rational function. - $f(x)=\frac{9 x^{2}+9}{9 x^{2}-9}$

Solve the problem. -The cost (in dollars) of manufacturing $x$ items is given by: $C(x)=x^{3}-6 x^{2}+17 x$ What is the cost of manufacturing 13 items?

State the domain of the given function. - $y=\frac{(x+3)(x-3)}{x^{2}+9}$

Graph the function. - $y=2[x]$

Graph the piecewise linear function. - $f(x)= \begin{cases}-1-x, & x \leq 2 \\ 1-2 x, & x>2\end{cases}$ $Graph the piecewise linear function. - f(x)= \begin{cases}-1-x, & x \leq 2 \\ 1-2 x, & x>2\end{cases}$

Solve the problem. -Suppose that the change in pressure of the oil in a reservoir can be approximated by: $P(x)=x^{3}-22 x^{2}+121 x$ Where $x$ is time in years from the date of the first reading. Find $P(7)$ .

Give the equation of the horizontal asymptote of the rational function. - $g(x)=\frac{8-5 x}{5 x+1}$