Question 1

Find the appropriate linear cost or revenue function.
-Fixed cost, $\$ 340$;
5 items cost $\$ 3900$ to produce. Find the linear cost function.

Accepted Answer

A)  $C(x)=712 x+340$ 
B)  $C(x)=1424 x+340$ 
C)  $C(x)=712 x+3900$ 
D)  $C(x)=1424 x+3900$ 
A)  $C(x)=712 x+340$ 
B)  $C(x)=1424 x+340$ 
C)  $C(x)=712 x+3900$ 
D)  $C(x)=1424 x+3900$

Question 2

State whether the parabola opens upward or downward.
-$f(x)=-0.8 x^{2}+1$

Accepted Answer

A)  Downward 
B)  Upward 
A)  Downward 
B)  Upward

Question 3

Determine the vertex of the parabola.
-$y=-4(x+3)^{2}-4$

Accepted Answer

A)  $(4,3)$ 
B)  $(3,-4)$ 
C)  $(-3,-4)$ 
D)  $(-4,-3)$ 
A)  $(4,3)$ 
B)  $(3,-4)$ 
C)  $(-3,-4)$ 
D)  $(-4,-3)$

Question 4

Find the appropriate linear cost or revenue function.
-Marginal cost, $\$ 50$;
50 items cost $\$ 2900$ to produce. Find the linear cost function.

Accepted Answer

A)  $C(x)=8 x+2900$ 
B)  $C(x)=8 x+400$ 
C)  $C(x)=50 x+400$ 
D)  $C(x)=50 x+2900$ 
A)  $C(x)=8 x+2900$ 
B)  $C(x)=8 x+400$ 
C)  $C(x)=50 x+400$ 
D)  $C(x)=50 x+2900$

Question 5

Graph the function.
-A store has its own parking garage. Customers can park free of charge for up to one hour. For customers who stay more than one hour, the store charges $\$ 3$ for each additional hour or fraction of an hour. So for example, a customer who parks for three and a half hours is charged \$9. Graph the function.

Accepted Answer

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

Question 6

Graph the parabola.
-$f(x)=x^{2}-3 x-9$

Accepted Answer

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

Question 7

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point.
-vertex $(-2,-5) ;$ point $(-4,3)$

Accepted Answer

A)  $P(x)=2 x^{2}+2 x+5$ 
B)  $P(x)=-4 x^{2}-8 x-3$ 
C)  $P(x)=2 x^{2}+8 x+3$ 
D)  $P(x)=-2 x^{2}+8 x+5$ 
A)  $P(x)=2 x^{2}+2 x+5$ 
B)  $P(x)=-4 x^{2}-8 x-3$ 
C)  $P(x)=2 x^{2}+8 x+3$ 
D)  $P(x)=-2 x^{2}+8 x+5$

Question 8

Find the appropriate linear cost or revenue function.
-A cab company charges a base rate of $\$ 1.00$ plus 10 cents per minute. Let $C(x)$ be the cost in dollars of using the cab for $x$ minutes. Find the linear cost function.

Accepted Answer

A)  $C(x)=1.00 x-0.10$ 
B)  $C(x)=0.10 x-1.00$ 
C)  $C(x)=1.00 x+0.10$ 
D)  $C(x)=0.10 x+1.00$ 
A)  $C(x)=1.00 x-0.10$ 
B)  $C(x)=0.10 x-1.00$ 
C)  $C(x)=1.00 x+0.10$ 
D)  $C(x)=0.10 x+1.00$

Question 9

Determine the vertex of the parabola.
-$y=-\frac{1}{3}(x-4)^{2}+1$

Accepted Answer

A)  $(-1,-4)$ 
B)  $(-4,1)$ 
C)  $(1,4)$ 
D)  $(4,1)$ 
A)  $(-1,-4)$ 
B)  $(-4,1)$ 
C)  $(1,4)$ 
D)  $(4,1)$

Question 10

Evaluate the function.
-Given that $f(x)=\frac{\sqrt{x^{2}+1}}{x-1}$, find $f(3)$.

Accepted Answer

A)  $\frac{\sqrt{10}}{2} \approx 2.5$ 
B)  $\frac{\sqrt{10}}{2} \approx 1.5811$ 
C)  $\frac{\sqrt{10}}{2} \approx-1.5811$ 
D)  $\frac{\sqrt{10}}{2} \approx 50.0000$ 
A)  $\frac{\sqrt{10}}{2} \approx 2.5$ 
B)  $\frac{\sqrt{10}}{2} \approx 1.5811$ 
C)  $\frac{\sqrt{10}}{2} \approx-1.5811$ 
D)  $\frac{\sqrt{10}}{2} \approx 50.0000$

Question 11

Give the equation of the vertical asymptote(s) of the rational function.
-$g(x)=\frac{x-4}{(x-6)(x+5)}$

Accepted Answer

A)  $x=-6, x=5$ 
B)  $x=6, x=-5$ 
C)  $x=-4$ 
D)  $x=4$ 
A)  $x=-6, x=5$ 
B)  $x=6, x=-5$ 
C)  $x=-4$ 
D)  $x=4$

Question 12

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

Accepted Answer

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

Question 13

Use the graph to solve the problem.
-The population (in thousands) of one city is approximated by
$f(x)= \begin{cases}43+2.3 x & \text { for } 1970 \text { to } 1980 \ 27+3.9 x & \text { for } 1980 \text { to } 1990\end{cases}$
The graph of this function is shown below. In this graph, $x=0$ represents 1970. Use the graph to estimate the population of the city in 1979.

Accepted Answer

A)  About 63,700 
B)  About 57,700 
C)  About 70,700 
D)  About 75,700 
A)  About 63,700 
B)  About 57,700 
C)  About 70,700 
D)  About 75,700

Question 14

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

Accepted Answer

A)    
B)    
A)    
B)

Question 15

Use the vertical line test to determine if the graph is a graph of a function.
-

Accepted Answer

A) True 
 B)False

Question 16

Use the graph to solve the problem.
-The population (in thousands) of one city is approximated by
$f(x)= \begin{cases}43+2.3 x & \text { for } 1970 \text { to } 1980 \ 27+3.9 x & \text { for } 1980 \text { to } 1990\end{cases}$
The graph of this function is shown below. In this graph, $\mathrm{x}=0$ represents 1970. Use the graph to estimate the population of the city in 1986.

Accepted Answer

A)  About 96,400 
B)  About 78,400 
C)  About 89,400 
D)  About 82,400 
A)  About 96,400 
B)  About 78,400 
C)  About 89,400 
D)  About 82,400

Question 17

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point.
-vertex $(3,-4)$; point $(2,-7)$

Accepted Answer

A)  $f(x)=(x-3)^{2}-4$ 
B)  $f(x)=2(x-3)^{2}-4$ 
C)  $f(x)=-3(x-3)^{2}-4$ 
D)  $f(x)=-3(x+3)^{2}-4$ 
A)  $f(x)=(x-3)^{2}-4$ 
B)  $f(x)=2(x-3)^{2}-4$ 
C)  $f(x)=-3(x-3)^{2}-4$ 
D)  $f(x)=-3(x+3)^{2}-4$

Question 18

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

Accepted Answer

A)  all real numbers except -2 
B)  $(-2, \infty)$ 
C)  $[2, \infty)$ 
D)  $[-2, \infty)$ 
A)  all real numbers except -2 
B)  $(-2, \infty)$ 
C)  $[2, \infty)$ 
D)  $[-2, \infty)$

Question 19

Graph the function.
-$f(x)=x^{3}-3$

Accepted Answer

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

Question 20

Solve the problem.
-In the following formula, $y$ is the minimum number of hours of studying required to attain a test score of $x: y=\frac{0.43 x}{100.5-x}$. How many hours of study are needed to score $88 ?$

Accepted Answer

A)  $6.55 \mathrm{hr}$ 
B)  $101.01 \mathrm{hr}$ 
C)  $30.30 \mathrm{hr}$ 
D)  $3.03 \mathrm{hr}$ 
A)  $6.55 \mathrm{hr}$ 
B)  $101.01 \mathrm{hr}$ 
C)  $30.30 \mathrm{hr}$ 
D)  $3.03 \mathrm{hr}$

Find the appropriate linear cost or revenue function. -Fixed cost, $\$ 340$ ; 5 items cost $\$ 3900$ to produce. Find the linear cost function.

State whether the parabola opens upward or downward. - $f(x)=-0.8 x^{2}+1$

Determine the vertex of the parabola. - $y=-4(x+3)^{2}-4$

Find the appropriate linear cost or revenue function. -Marginal cost, $\$ 50$ ; 50 items cost $\$ 2900$ to produce. Find the linear cost function.

Graph the parabola. - $f(x)=x^{2}-3 x-9$ $Graph the parabola. - f(x)=x^{2}-3 x-9$

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex $(-2,-5) ;$ point $(-4,3)$

Find the appropriate linear cost or revenue function. -A cab company charges a base rate of $\$ 1.00$ plus 10 cents per minute. Let $C(x)$ be the cost in dollars of using the cab for $x$ minutes. Find the linear cost function.

Determine the vertex of the parabola. - $y=-\frac{1}{3}(x-4)^{2}+1$

Evaluate the function. -Given that $f(x)=\frac{\sqrt{x^{2}+1}}{x-1}$ , find $f(3)$ .

Give the equation of the vertical asymptote(s) of the rational function. - $g(x)=\frac{x-4}{(x-6)(x+5)}$

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

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

Use the vertical line test to determine if the graph is a graph of a function. -

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex $(3,-4)$ ; point $(2,-7)$

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

Graph the function. - $f(x)=x^{3}-3$ $Graph the function. - f(x)=x^{3}-3$

Solve the problem. -In the following formula, $y$ is the minimum number of hours of studying required to attain a test score of $x: y=\frac{0.43 x}{100.5-x}$ . How many hours of study are needed to score $88 ?$

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 appropriate linear cost or revenue function. -Fixed cost, $340\$ 340$340 ; 5 items cost $3900\$ 3900$3900 to produce. Find the linear cost function.

State whether the parabola opens upward or downward. - f(x)=−0.8x2+1f(x)=-0.8 x^{2}+1f(x)=−0.8x2+1

Determine the vertex of the parabola. - y=−4(x+3)2−4y=-4(x+3)^{2}-4y=−4(x+3)2−4

Find the appropriate linear cost or revenue function. -Marginal cost, $50\$ 50$50 ; 50 items cost $2900\$ 2900$2900 to produce. Find the linear cost function.

Graph the parabola. - f(x)=x2−3x−9f(x)=x^{2}-3 x-9f(x)=x2−3x−9

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex (−2,−5);(-2,-5) ;(−2,−5); point (−4,3)(-4,3)(−4,3)

Find the appropriate linear cost or revenue function. -A cab company charges a base rate of $1.00\$ 1.00$1.00 plus 10 cents per minute. Let C(x)C(x)C(x) be the cost in dollars of using the cab for xxx minutes. Find the linear cost function.

Determine the vertex of the parabola. - y=−13(x−4)2+1y=-\frac{1}{3}(x-4)^{2}+1y=−31​(x−4)2+1

Evaluate the function. -Given that f(x)=x2+1x−1f(x)=\frac{\sqrt{x^{2}+1}}{x-1}f(x)=x−1x2+1​​ , find f(3)f(3)f(3) .

Give the equation of the vertical asymptote(s) of the rational function. - g(x)=x−4(x−6)(x+5)g(x)=\frac{x-4}{(x-6)(x+5)}g(x)=(x−6)(x+5)x−4​

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

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

Use the vertical line test to determine if the graph is a graph of a function. -

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex (3,−4)(3,-4)(3,−4) ; point (2,−7)(2,-7)(2,−7)

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

Graph the function. - f(x)=x3−3f(x)=x^{3}-3f(x)=x3−3

Solve the problem. -In the following formula, yyy is the minimum number of hours of studying required to attain a test score of x:y=0.43x100.5−xx: y=\frac{0.43 x}{100.5-x}x:y=100.5−x0.43x​ . How many hours of study are needed to score 88?88 ?88?

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 appropriate linear cost or revenue function. -Fixed cost, $\$ 340$ ; 5 items cost $\$ 3900$ to produce. Find the linear cost function.

State whether the parabola opens upward or downward. - $f(x)=-0.8 x^{2}+1$

Determine the vertex of the parabola. - $y=-4(x+3)^{2}-4$

Find the appropriate linear cost or revenue function. -Marginal cost, $\$ 50$ ; 50 items cost $\$ 2900$ to produce. Find the linear cost function.

Graph the parabola. - $f(x)=x^{2}-3 x-9$ $Graph the parabola. - f(x)=x^{2}-3 x-9$

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex $(-2,-5) ;$ point $(-4,3)$

Find the appropriate linear cost or revenue function. -A cab company charges a base rate of $\$ 1.00$ plus 10 cents per minute. Let $C(x)$ be the cost in dollars of using the cab for $x$ minutes. Find the linear cost function.

Determine the vertex of the parabola. - $y=-\frac{1}{3}(x-4)^{2}+1$

Evaluate the function. -Given that $f(x)=\frac{\sqrt{x^{2}+1}}{x-1}$ , find $f(3)$ .

Give the equation of the vertical asymptote(s) of the rational function. - $g(x)=\frac{x-4}{(x-6)(x+5)}$

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

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

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex $(3,-4)$ ; point $(2,-7)$

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

Graph the function. - $f(x)=x^{3}-3$ $Graph the function. - f(x)=x^{3}-3$

Solve the problem. -In the following formula, $y$ is the minimum number of hours of studying required to attain a test score of $x: y=\frac{0.43 x}{100.5-x}$ . How many hours of study are needed to score $88 ?$