Question 1

Give the equation of the horizontal asymptote of the rational function.
-$f(x)=\frac{4 x+7}{7 x-8}$

Accepted Answer

A)  $y=0$ 
B)  $x=\frac{8}{7}$ 
C)  $y=4$ 
D)  $\mathrm{y}=\frac{4}{7}$ 
A)  $y=0$ 
B)  $x=\frac{8}{7}$ 
C)  $y=4$ 
D)  $\mathrm{y}=\frac{4}{7}$

Question 2

Solve the problem.
-Given the following revenue and cost functions, determine for what $x$-values a loss will occur. (Recall that profit equals revenue minus cost.)
$$R(x)=56 x-2 x^{2} ; C(x)=20 x+1001$$

Accepted Answer

A)    
B)  For $x14.0$ 
C)    
D)  For $x-3.4$ 
A)    
B)  For $x14.0$ 
C)    
D)  For $x-3.4$

Question 3

Graph the function.
-$f(x)=-|2 x|$

Accepted Answer

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

Question 4

Evaluate the function.
-Given that $f(x)=3-8 x^{3}$, find $f(-n)$.

Accepted Answer

A)  $3+8 n^{3}$ 
B)  $3+n x^{3}$ 
C)  $-n-8 x^{3}$ 
D)  $3-8 n^{3}$ 
A)  $3+8 n^{3}$ 
B)  $3+n x^{3}$ 
C)  $-n-8 x^{3}$ 
D)  $3-8 n^{3}$

Question 5

Solve the problem.
-Suppose the cost per ton, $y$, to build an oil platform of $x$ thousand tons is approximated by $y=\frac{162,500}{x+325}$. What is the cost per ton for $x=40$ ? Round your answer to the nearest cent.

Accepted Answer

A)  $\$ 4062.50$ 
B)  $\$ 3737.50$ 
C)  $\$ 12.50$ 
D)  $\$ 445.21$ 
A)  $\$ 4062.50$ 
B)  $\$ 3737.50$ 
C)  $\$ 12.50$ 
D)  $\$ 445.21$

Question 6

Solve the problem.
-The length and width of a rectangle have a sum of 88 . What dimensions give the maximum area?

Accepted Answer

A)  Length 43 and width 45 
B)  Length 44 and width 44 
C)  Length 34 and width 54 
D)  Length 35 and width 53 
A)  Length 43 and width 45 
B)  Length 44 and width 44 
C)  Length 34 and width 54 
D)  Length 35 and width 53

Question 7

Graph.
-$f(x)=(x-2)^{2}+1$

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Determine the vertex of the parabola.
-$f(x)=x^{2}-20 x+106$

Accepted Answer

A)  $(6,10)$ 
B)  $(10,6)$ 
C)  $(0,10)$ 
D)  $(6,0)$ 
A)  $(6,10)$ 
B)  $(10,6)$ 
C)  $(0,10)$ 
D)  $(6,0)$

Question 10

Graph the parabola.
-$y=-x^{2}-5$

Accepted Answer

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

Question 11

Solve the problem.
-The population of one city (in thousands) was 82.2 in 1970, 95.1 in 1980, and 102.1 in 1990. Let $\mathrm{x}=0$ correspond to 1970 and $\mathrm{x}=20$ to 1990 . find the rule of a piecewise linear function $\mathrm{f}$ that models this data, that is a piecewise function with $\mathrm{f}(0)=82.2, \mathrm{f}(10)=95.1$, and $\mathrm{f}(20)=102.1$.

Accepted Answer

A)  $f(x)= \begin{cases}1.29 x+82.2 & \text { if } 0 \leq x \leq 10 \ 0.70 x+95.1 & \text { if } 10 \leq x \leq 20\end{cases}$ 
B)  $f(x)= \begin{cases}1.29 x+82.2 & \text { if } 0 \leq x \leq 10 \ 0.70 x+88.1 & \text { if } 10 \leq x \leq 20\end{cases}$ 
C)  $f(x)= \begin{cases}1.29 x+82.2 & \text { if } 0 \leq x \leq 10 \ 1.00 x+85.1 & \text { if } 10 \leq x \leq 20\end{cases}$ 
D)  $f(x)=5.055 x+82.2$ 
A)  $f(x)= \begin{cases}1.29 x+82.2 & \text { if } 0 \leq x \leq 10 \ 0.70 x+95.1 & \text { if } 10 \leq x \leq 20\end{cases}$ 
B)  $f(x)= \begin{cases}1.29 x+82.2 & \text { if } 0 \leq x \leq 10 \ 0.70 x+88.1 & \text { if } 10 \leq x \leq 20\end{cases}$ 
C)  $f(x)= \begin{cases}1.29 x+82.2 & \text { if } 0 \leq x \leq 10 \ 1.00 x+85.1 & \text { if } 10 \leq x \leq 20\end{cases}$ 
D)  $f(x)=5.055 x+82.2$

Question 12

Determine the vertex of the parabola.
-$f(x)=8 x^{2}-96 x+289$

Accepted Answer

A)  $(1,6)$ 
B)  $(6,0)$ 
C)  $(6,1)$ 
D)  $(0,1)$ 
A)  $(1,6)$ 
B)  $(6,0)$ 
C)  $(6,1)$ 
D)  $(0,1)$

Question 13

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

Accepted Answer

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

Question 14

State whether the parabola opens upward or downward.
-$f(x)=\frac{1}{3} x^{2}-9$

Accepted Answer

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

Question 15

Solve the problem.
-Given the following revenue and cost functions, find the $x$-value that makes revenue a maximum.
$$R(x)=66 x-3 x^{2} ; C(x)=22 x+105$$

Accepted Answer

A)  22 
B)  12 
C)  10 
D)  11 
A)  22 
B)  12 
C)  10 
D)  11

Question 16

Graph the polynomial function.
-$P(x)=(-3 x+2)(x+1)(x-1)$

Accepted Answer

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

Question 17

Graph the polynomial function.
-$P(x)=2 x(x+1)^{2}$

Accepted Answer

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

Question 18

Write the word or phrase that best completes each statement or answers the question.
-A company has fixed costs of $\$ 800$ and the linear cost function is $C(x)=12 x+800$. Which do you think is larger, the average cost per item of producing $n$ items or the marginal cost given that $\mathrm{n}$ items have been produced? Explain your thinking. Under what conditions would the marginal cost and the average cost per item be the same?

Accepted Answer

The average cost per item is larger than

Question 19

Evaluate the function.
-Find $f(k)$ when: $f(x)=3 x^{2}+4 x+5$

Accepted Answer

A)  $f(k)=3 k^{2}+4 k+25$ 
B)  $f(k)=3 k^{2}+4 k+5$ 
C)  $f(k)=9 k^{2}+16 k+25$ 
D)  $f(k)=3 k^{2}+16 k+5$ 
A)  $f(k)=3 k^{2}+4 k+25$ 
B)  $f(k)=3 k^{2}+4 k+5$ 
C)  $f(k)=9 k^{2}+16 k+25$ 
D)  $f(k)=3 k^{2}+16 k+5$

Question 20

Solve the problem.
-Northwest Molded molds plastic handles which cost $\$ 1.00$ per handle to mold. The fixed cost to run the molding machine is $\$ 4722$ per week. If the company sells the handles for $\$ 3.00$ each, how many handles must be molded weekly to reach the break-even point?

Accepted Answer

A)  1180 handles 
B)  2361 handles 
C)  1574 handles 
D)  4722 handles 
A)  1180 handles 
B)  2361 handles 
C)  1574 handles 
D)  4722 handles

Give the equation of the horizontal asymptote of the rational function. - $f(x)=\frac{4 x+7}{7 x-8}$

Solve the problem. -Given the following revenue and cost functions, determine for what $x$ -values a loss will occur. (Recall that profit equals revenue minus cost.) $R(x)=56 x-2 x^{2} ; C(x)=20 x+1001$

Graph the function. - $f(x)=-|2 x|$

Evaluate the function. -Given that $f(x)=3-8 x^{3}$ , find $f(-n)$ .

Solve the problem. -Suppose the cost per ton, $y$ , to build an oil platform of $x$ thousand tons is approximated by $y=\frac{162,500}{x+325}$ . What is the cost per ton for $x=40$ ? Round your answer to the nearest cent.

Solve the problem. -The length and width of a rectangle have a sum of 88 . What dimensions give the maximum area?

Graph. - $f(x)=(x-2)^{2}+1$ $Graph. - f(x)=(x-2)^{2}+1$

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

Determine the vertex of the parabola. - $f(x)=x^{2}-20 x+106$

Graph the parabola. - $y=-x^{2}-5$ $Graph the parabola. - y=-x^{2}-5$

Determine the vertex of the parabola. - $f(x)=8 x^{2}-96 x+289$

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

State whether the parabola opens upward or downward. - $f(x)=\frac{1}{3} x^{2}-9$

Solve the problem. -Given the following revenue and cost functions, find the $x$ -value that makes revenue a maximum. $R(x)=66 x-3 x^{2} ; C(x)=22 x+105$

Graph the polynomial function. - $P(x)=(-3 x+2)(x+1)(x-1)$

Graph the polynomial function. - $P(x)=2 x(x+1)^{2}$ $Graph the polynomial function. - P(x)=2 x(x+1)^{2}$

Evaluate the function. -Find $f(k)$ when: $f(x)=3 x^{2}+4 x+5$

Solve the problem. -Northwest Molded molds plastic handles which cost $\$ 1.00$ per handle to mold. The fixed cost to run the molding machine is $\$ 4722$ per week. If the company sells the handles for $\$ 3.00$ each, how many handles must be molded weekly to reach the break-even point?

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

Give the equation of the horizontal asymptote of the rational function. - f(x)=4x+77x−8f(x)=\frac{4 x+7}{7 x-8}f(x)=7x−84x+7​

Solve the problem. -Given the following revenue and cost functions, determine for what xxx -values a loss will occur. (Recall that profit equals revenue minus cost.) R(x)=56x−2x2;C(x)=20x+1001R(x)=56 x-2 x^{2} ; C(x)=20 x+1001R(x)=56x−2x2;C(x)=20x+1001

Graph the function. - f(x)=−∣2x∣f(x)=-|2 x|f(x)=−∣2x∣

Evaluate the function. -Given that f(x)=3−8x3f(x)=3-8 x^{3}f(x)=3−8x3 , find f(−n)f(-n)f(−n) .

Solve the problem. -Suppose the cost per ton, yyy , to build an oil platform of xxx thousand tons is approximated by y=162,500x+325y=\frac{162,500}{x+325}y=x+325162,500​ . What is the cost per ton for x=40x=40x=40 ? Round your answer to the nearest cent.

Solve the problem. -The length and width of a rectangle have a sum of 88 . What dimensions give the maximum area?

Graph. - f(x)=(x−2)2+1f(x)=(x-2)^{2}+1f(x)=(x−2)2+1

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

Determine the vertex of the parabola. - f(x)=x2−20x+106f(x)=x^{2}-20 x+106f(x)=x2−20x+106

Graph the parabola. - y=−x2−5y=-x^{2}-5y=−x2−5

Determine the vertex of the parabola. - f(x)=8x2−96x+289f(x)=8 x^{2}-96 x+289f(x)=8x2−96x+289

Graph the function. - f(x)=−3−xf(x)=-\sqrt{3-x}f(x)=−3−x​

State whether the parabola opens upward or downward. - f(x)=13x2−9f(x)=\frac{1}{3} x^{2}-9f(x)=31​x2−9

Solve the problem. -Given the following revenue and cost functions, find the xxx -value that makes revenue a maximum. R(x)=66x−3x2;C(x)=22x+105R(x)=66 x-3 x^{2} ; C(x)=22 x+105R(x)=66x−3x2;C(x)=22x+105

Graph the polynomial function. - P(x)=(−3x+2)(x+1)(x−1)P(x)=(-3 x+2)(x+1)(x-1)P(x)=(−3x+2)(x+1)(x−1)

Graph the polynomial function. - P(x)=2x(x+1)2P(x)=2 x(x+1)^{2}P(x)=2x(x+1)2

Evaluate the function. -Find f(k)f(k)f(k) when: f(x)=3x2+4x+5f(x)=3 x^{2}+4 x+5f(x)=3x2+4x+5

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

Give the equation of the horizontal asymptote of the rational function. - $f(x)=\frac{4 x+7}{7 x-8}$

Solve the problem. -Given the following revenue and cost functions, determine for what $x$ -values a loss will occur. (Recall that profit equals revenue minus cost.) $R(x)=56 x-2 x^{2} ; C(x)=20 x+1001$

Graph the function. - $f(x)=-|2 x|$

Evaluate the function. -Given that $f(x)=3-8 x^{3}$ , find $f(-n)$ .

Solve the problem. -Suppose the cost per ton, $y$ , to build an oil platform of $x$ thousand tons is approximated by $y=\frac{162,500}{x+325}$ . What is the cost per ton for $x=40$ ? Round your answer to the nearest cent.

Graph. - $f(x)=(x-2)^{2}+1$ $Graph. - f(x)=(x-2)^{2}+1$

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

Determine the vertex of the parabola. - $f(x)=x^{2}-20 x+106$

Graph the parabola. - $y=-x^{2}-5$ $Graph the parabola. - y=-x^{2}-5$

Determine the vertex of the parabola. - $f(x)=8 x^{2}-96 x+289$

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

State whether the parabola opens upward or downward. - $f(x)=\frac{1}{3} x^{2}-9$

Solve the problem. -Given the following revenue and cost functions, find the $x$ -value that makes revenue a maximum. $R(x)=66 x-3 x^{2} ; C(x)=22 x+105$

Graph the polynomial function. - $P(x)=(-3 x+2)(x+1)(x-1)$

Graph the polynomial function. - $P(x)=2 x(x+1)^{2}$ $Graph the polynomial function. - P(x)=2 x(x+1)^{2}$

Evaluate the function. -Find $f(k)$ when: $f(x)=3 x^{2}+4 x+5$