Question 1

Graph the rational function.
-$f(x)=\frac{x-3}{x^{2}-3 x-4}$

Accepted Answer

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

Question 2

Give the equation of the horizontal asymptote of the rational function.
-$g(x)=\frac{6 x+6}{x-2}$

Accepted Answer

A)  $y=0$ 
B)  $y=6$ 
C)  $y=2$ 
D)  $x=2$ 
A)  $y=0$ 
B)  $y=6$ 
C)  $y=2$ 
D)  $x=2$

Question 3

Graph the rational function.
-$f(x)=\frac{1}{x-3}$

Accepted Answer

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

Question 4

Solve the problem.
-A cereal factory has weekly fixed costs of $\$ 33,000$. It costs $\$ 1.28$ to produce each box of cereal. A box of cereal sells for $\$ 4.07$. Find the rule of the cost function $\mathrm{c}(\mathrm{x})$ that gives the total weekly cost of producing $x$ boxes of cereal.

Accepted Answer

A)  $c(x)=33,000+4.07 x$ 
B)  $c(x)=33,000+1.28 x$ 
C)  $c(x)=1.28 x$ 
D)  $c(x)=33,000+2.79 x$ 
A)  $c(x)=33,000+4.07 x$ 
B)  $c(x)=33,000+1.28 x$ 
C)  $c(x)=1.28 x$ 
D)  $c(x)=33,000+2.79 x$

Question 5

Find the $x$ and $y$ intercepts. If no $x$ intercepts exist, state so.
-$f(x)=-3 x^{2}+9 x+20$

Accepted Answer

A)  No $x$-intercepts; $y$-intercept: -20 
B)  No $x$-intercepts; $y$-intercept: 20 
C)  x-intercepts: $\frac{-9 \pm \sqrt{321}}{2}$; -intercept: -20 
D)  $x$-intercepts: $\frac{-9 \pm \sqrt{321}}{2} ; y$-intercept: 20 
A)  No $x$-intercepts; $y$-intercept: -20 
B)  No $x$-intercepts; $y$-intercept: 20 
C)  x-intercepts: $\frac{-9 \pm \sqrt{321}}{2}$; -intercept: -20 
D)  $x$-intercepts: $\frac{-9 \pm \sqrt{321}}{2} ; y$-intercept: 20

Question 6

Solve the problem.
-Midtown Delivery Service delivers packages which cost $\$ 1.00$ per package to deliver. The fixed cost to run the delivery truck is $\$ 165$ per day. If the company charges $\$ 4.00$ per package, how many packages must be delivered daily to make a profit of $\$ 36$ ?

Accepted Answer

A)  55 packages 
B)  165 packages 
C)  33 packages 
D)  67 packages 
A)  55 packages 
B)  165 packages 
C)  33 packages 
D)  67 packages

Question 7

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

Accepted Answer

A)  $(-2,1)$ 
B)  $(2,1)$ 
C)  $(1,2)$ 
D)  $(-1,-2)$ 
A)  $(-2,1)$ 
B)  $(2,1)$ 
C)  $(1,2)$ 
D)  $(-1,-2)$

Question 8

Evaluate the function.
-Given that $f(x)=\left|x^{3}-x^{2}-6 x-1\right|$, find $f(-1.8)$

Accepted Answer

A)  -0.728 
B)  0.728 
C)  3.968 
D)  20.872 
A)  -0.728 
B)  0.728 
C)  3.968 
D)  20.872

Question 9

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

Accepted Answer

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

Question 10

Determine the vertex of the parabola.
-$f(x)=x^{2}-10 x+29$

Accepted Answer

A)  $(4,5)$ 
B)  $(5,0)$ 
C)  $(5,4)$ 
D)  $(0,4)$ 
A)  $(4,5)$ 
B)  $(5,0)$ 
C)  $(5,4)$ 
D)  $(0,4)$

Question 11

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

Accepted Answer

A) True 
 B)False

Question 12

Graph the linear function.
-$f(x)=\frac{1}{5} x$

Accepted Answer

A)    
B)    
A)    
B)

Question 13

Write a cost function for the problem. Assume that the relationship is linear.
-Marginal cost, $\$ 90 ; 60$ items cost $\$ 5800$ to produce

Accepted Answer

A)  $C(x)=7 x+400$ 
B)  $C(x)=90 x+400$ 
C)  $C(x)=90 x+5800$ 
D)  $C(x)=7 x+5800$ 
A)  $C(x)=7 x+400$ 
B)  $C(x)=90 x+400$ 
C)  $C(x)=90 x+5800$ 
D)  $C(x)=7 x+5800$

Question 14

Solve the problem.
-Suppose the supply and demand for a certain videotape are given by:
$$\text { supply: } \mathrm{p}=\frac{1}{3} \mathrm{q}^{2} ; \quad \text { demand: } \mathrm{p}=-\frac{1}{3} \mathrm{q}^{2}+33$$
Where $p$ is price and $q$ is quantity.
How many videotapes are demanded at a price of $\$ 16$ ?

Accepted Answer

A)  About 7 
B)  About 9 
C)  About 8 
D)  About 6 
A)  About 7 
B)  About 9 
C)  About 8 
D)  About 6

Question 15

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

Accepted Answer

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

Question 16

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point.
-vertex $(2,-5)$; point $(-7,238)$

Accepted Answer

A)  $P(x)=-3 x^{2}+12 x-5$ 
B)  $P(x)=-7 x^{2}-12 x-7$ 
C)  $P(x)=3 x^{2}-12 x+7$ 
D)  $P(x)=3 x^{2}-2 x-5$ 
A)  $P(x)=-3 x^{2}+12 x-5$ 
B)  $P(x)=-7 x^{2}-12 x-7$ 
C)  $P(x)=3 x^{2}-12 x+7$ 
D)  $P(x)=3 x^{2}-2 x-5$

Question 17

Solve the problem.
-If a rock is thrown vertically upward from the surface of the moon at a speed of $21 \mathrm{~m} / \mathrm{s}$, its height after $t$ seconds will be $s(t)=21 t-0.8 t^{2}$ meters. Find its height after 6 seconds.

Accepted Answer

A)  90.0 meters 
B)  125.2 meters 
C)  102.96 meters 
D)  97.2 meters 
A)  90.0 meters 
B)  125.2 meters 
C)  102.96 meters 
D)  97.2 meters

Question 18

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

Accepted Answer

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

Question 19

Use a graphing calculator to find a viewing window that shows a complete graph of the given polynomial function(that is, a graph that includes all the peaks and valleys and indicates how the curve moves away frem the $x$ axis at thefar left and far right.) There are many possible correct answers.
-$f(x)=x^{5}-10 x^{4}+35 x^{3}-50 x^{2}+24 x$

Accepted Answer

Answers wi

Question 20

Evaluate the function.
-Given that $f(x)=\frac{7}{6-x}$, find $f(m)$.

Accepted Answer

A)  $\frac{7}{m-x}$ 
B)  $\frac{m}{6-x}$ 
C)  $\frac{7}{6-m}$ 
D)  $\frac{m}{6-m}$ 
A)  $\frac{7}{m-x}$ 
B)  $\frac{m}{6-x}$ 
C)  $\frac{7}{6-m}$ 
D)  $\frac{m}{6-m}$

Graph the rational function. - $f(x)=\frac{x-3}{x^{2}-3 x-4}$ $Graph the rational function. - f(x)=\frac{x-3}{x^{2}-3 x-4}$

Give the equation of the horizontal asymptote of the rational function. - $g(x)=\frac{6 x+6}{x-2}$

Graph the rational function. - $f(x)=\frac{1}{x-3}$ $Graph the rational function. - f(x)=\frac{1}{x-3}$

Solve the problem. -A cereal factory has weekly fixed costs of $\$ 33,000$ . It costs $\$ 1.28$ to produce each box of cereal. A box of cereal sells for $\$ 4.07$ . Find the rule of the cost function $\mathrm{c}(\mathrm{x})$ that gives the total weekly cost of producing $x$ boxes of cereal.

Find the $x$ and $y$ intercepts. If no $x$ intercepts exist, state so. - $f(x)=-3 x^{2}+9 x+20$

Solve the problem. -Midtown Delivery Service delivers packages which cost $\$ 1.00$ per package to deliver. The fixed cost to run the delivery truck is $\$ 165$ per day. If the company charges $\$ 4.00$ per package, how many packages must be delivered daily to make a profit of $\$ 36$ ?

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

Evaluate the function. -Given that $f(x)=\left|x^{3}-x^{2}-6 x-1\right|$ , find $f(-1.8)$

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

Determine the vertex of the parabola. - $f(x)=x^{2}-10 x+29$

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

Graph the linear function. - $f(x)=\frac{1}{5} x$ $Graph the linear function. - f(x)=\frac{1}{5} x$

Write a cost function for the problem. Assume that the relationship is linear. -Marginal cost, $\$ 90 ; 60$ items cost $\$ 5800$ to produce

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

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex $(2,-5)$ ; point $(-7,238)$

Solve the problem. -If a rock is thrown vertically upward from the surface of the moon at a speed of $21 \mathrm{~m} / \mathrm{s}$ , its height after $t$ seconds will be $s(t)=21 t-0.8 t^{2}$ meters. Find its height after 6 seconds.

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

Evaluate the function. -Given that $f(x)=\frac{7}{6-x}$ , find $f(m)$ .

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

Graph the rational function. - f(x)=x−3x2−3x−4f(x)=\frac{x-3}{x^{2}-3 x-4}f(x)=x2−3x−4x−3​

Give the equation of the horizontal asymptote of the rational function. - g(x)=6x+6x−2g(x)=\frac{6 x+6}{x-2}g(x)=x−26x+6​

Graph the rational function. - f(x)=1x−3f(x)=\frac{1}{x-3}f(x)=x−31​

Find the xxx and yyy intercepts. If no xxx intercepts exist, state so. - f(x)=−3x2+9x+20f(x)=-3 x^{2}+9 x+20f(x)=−3x2+9x+20

Determine the vertex of the parabola. - y=(x−2)2+1y=(x-2)^{2}+1y=(x−2)2+1

Evaluate the function. -Given that f(x)=∣x3−x2−6x−1∣f(x)=\left|x^{3}-x^{2}-6 x-1\right|f(x)=​x3−x2−6x−1​ , find f(−1.8)f(-1.8)f(−1.8)

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

Determine the vertex of the parabola. - f(x)=x2−10x+29f(x)=x^{2}-10 x+29f(x)=x2−10x+29

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

Graph the linear function. - f(x)=15xf(x)=\frac{1}{5} xf(x)=51​x

Write a cost function for the problem. Assume that the relationship is linear. -Marginal cost, $90;60\$ 90 ; 60$90;60 items cost $5800\$ 5800$5800 to produce

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

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 (−7,238)(-7,238)(−7,238)

Solve the problem. -If a rock is thrown vertically upward from the surface of the moon at a speed of 21 m/s21 \mathrm{~m} / \mathrm{s}21 m/s , its height after ttt seconds will be s(t)=21t−0.8t2s(t)=21 t-0.8 t^{2}s(t)=21t−0.8t2 meters. Find its height after 6 seconds.

Determine the vertex of the parabola. - y=2x2−4x−2y=2 x^{2}-4 x-2y=2x2−4x−2

Evaluate the function. -Given that f(x)=76−xf(x)=\frac{7}{6-x}f(x)=6−x7​ , find f(m)f(m)f(m) .

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

Graph the rational function. - $f(x)=\frac{x-3}{x^{2}-3 x-4}$ $Graph the rational function. - f(x)=\frac{x-3}{x^{2}-3 x-4}$

Give the equation of the horizontal asymptote of the rational function. - $g(x)=\frac{6 x+6}{x-2}$

Graph the rational function. - $f(x)=\frac{1}{x-3}$ $Graph the rational function. - f(x)=\frac{1}{x-3}$

Find the $x$ and $y$ intercepts. If no $x$ intercepts exist, state so. - $f(x)=-3 x^{2}+9 x+20$

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

Evaluate the function. -Given that $f(x)=\left|x^{3}-x^{2}-6 x-1\right|$ , find $f(-1.8)$

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

Determine the vertex of the parabola. - $f(x)=x^{2}-10 x+29$

Graph the linear function. - $f(x)=\frac{1}{5} x$ $Graph the linear function. - f(x)=\frac{1}{5} x$

Write a cost function for the problem. Assume that the relationship is linear. -Marginal cost, $\$ 90 ; 60$ items cost $\$ 5800$ to produce

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

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex $(2,-5)$ ; point $(-7,238)$

Solve the problem. -If a rock is thrown vertically upward from the surface of the moon at a speed of $21 \mathrm{~m} / \mathrm{s}$ , its height after $t$ seconds will be $s(t)=21 t-0.8 t^{2}$ meters. Find its height after 6 seconds.

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

Evaluate the function. -Given that $f(x)=\frac{7}{6-x}$ , find $f(m)$ .