Question 1

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

Accepted Answer

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

Question 2

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.
-$f(x)=x^{4}-2 x^{3}-4 x^{2}+6 x+2$

Accepted Answer

Answers wi

Question 3

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

Accepted Answer

A) True 
 B)False

Question 4

Solve the problem.
-A cereal factory has weekly fixed costs of $\$ 43,000$. It costs $\$ 1.38$ to produce each box of cereal. A box of cereal sells for $\$ 3.94$. Find the rule of the profit function $p(x)$ that gives the total weekly profit from $x$ boxes of cereal.

Accepted Answer

A)  $p(x)=2.56 x-43,000$ 
B)  $p(x)=2.56+43,000 x$ 
C)  $p(x)=3.94 x-43,000$ 
D)  $p(x)=2.56 x$ 
A)  $p(x)=2.56 x-43,000$ 
B)  $p(x)=2.56+43,000 x$ 
C)  $p(x)=3.94 x-43,000$ 
D)  $p(x)=2.56 x$

Question 5

Give the equation of the horizontal asymptote of the rational function.
-$g(x)=\frac{3}{x+4}$

Accepted Answer

A)  $y=0$ 
B)  $y=3$ 
C)  $\mathrm{y}=\frac{3}{4}$ 
D)  $x=-4$ 
A)  $y=0$ 
B)  $y=3$ 
C)  $\mathrm{y}=\frac{3}{4}$ 
D)  $x=-4$

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

A)    
B)    
A)    
B)

Question 8

Give the equation of the vertical asymptote(s) of the rational function.
-$g(x)=\frac{3}{x+6}$

Accepted Answer

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

Question 9

Solve the problem.
-The graph of a function is given below. Tell whether the graph could possibly be the graph of a polynomial function. If it could be the graph of a polynomial function, tell which of the following are possible degrees for the polynomial function: 3, 4, 5, 6 .

Accepted Answer

A)  yes; 5 only 
B)  yes; 6 only 
C)  yes; 4, 6 
D)  yes; 4 only 
A)  yes; 5 only 
B)  yes; 6 only 
C)  yes; 4, 6 
D)  yes; 4 only

Question 10

Solve the problem.
-The number of gaskets used in a plant is $R(x)=1200-40 x$, where 1200 is the number of gaskets in one shipload and $x$ is the number of days after shipment. Orders are made when a 10-day gasket supply is left. How many days after delivery is an order made?

Accepted Answer

A)  30 days 
B)  10 days 
C)  20 days 
D)  15 days 
A)  30 days 
B)  10 days 
C)  20 days 
D)  15 days

Question 11

Write the word or phrase that best completes each statement or answers the question.
-The table shows the winning time for the women's 200 -meter run at seven consecutive summer Olympic Games.
   
Let $\mathrm{x}=1$ correspond to 1960 and let $\mathrm{f}(\mathrm{x})$ be the winning time for the women's 200 - meter run at the Olympics in year $x$. Using the points $(1,24.0)$ and $(25,21.81)$, the following linear function is obtained to model the data: $f(x)=-0.09125 x+24.09125$. What does the slope, -0.09125 , indicate?

Accepted Answer

The slope, -0.09125, indicates

Question 12

Solve the problem.
-the size (in thousands) of a certain population in year $x$ is approximated by the function $h(x)=0.4 x^{2}+1.9 x+40$ (where $x=0$ corresponds to the year 1990). predict the size of the population in the year 1997 .

Accepted Answer

A)  About 73 
B)  About 61,140 
C)  About 72,900 
D)  About 1,599,038 
A)  About 73 
B)  About 61,140 
C)  About 72,900 
D)  About 1,599,038

Question 13

Find the appropriate linear cost or revenue function.
-An electrician charges a fee of $\$ 50$ plus $\$ 35$ per hour. Let $C(x)$ be the cost in dollars of using the electrician for $x$ hours. Find the linear cost function.

Accepted Answer

A)  $C(x)=50 x+35$ 
B)  $C(x)=35 x-50$ 
C)  $C(x)=50 x-35$ 
D)  $C(x)=35 x+50$ 
A)  $C(x)=50 x+35$ 
B)  $C(x)=35 x-50$ 
C)  $C(x)=50 x-35$ 
D)  $C(x)=35 x+50$

Question 14

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

Accepted Answer

A)  $y=6$ 
B)  $x=-\frac{4}{5}$ 
C)  $y=\frac{6}{5}$ 
D)  $y=0$ 
A)  $y=6$ 
B)  $x=-\frac{4}{5}$ 
C)  $y=\frac{6}{5}$ 
D)  $y=0$

Question 15

Give the equation of the vertical asymptote(s) of the rational function.
-$g(x)=\frac{2 x+7}{x-1}$

Accepted Answer

A)  $x=1$ 
B)  $y=1$ 
C)  $x=-1$ 
D)  $y=2$ 
A)  $x=1$ 
B)  $y=1$ 
C)  $x=-1$ 
D)  $y=2$

Question 16

For the given function, find $\frac{f(x+h)-f(x)}{h}$.
-$x^{2}-4 x$

Accepted Answer

A)  $2 x-4+h$ 
B)  $2 x+4+h$ 
C)  $2 x+h$ 
D)  $\frac{2 x h+h^{2}-4 h-8 x}{h}$ 
A)  $2 x-4+h$ 
B)  $2 x+4+h$ 
C)  $2 x+h$ 
D)  $\frac{2 x h+h^{2}-4 h-8 x}{h}$

Question 17

Graph the polynomial function.
-$f(x)=x^{4}+4 x^{2}-2$

Accepted Answer

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

Question 18

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point.
-vertex $(-4,2)$; point $(3,247)$

Accepted Answer

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

Question 19

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point.
-vertex $(2,7)$; point $(4,11)$

Accepted Answer

A)  $f(x)=(x-2)^{2}+7$ 
B)  $f(x)=(x+2)^{2}+7$ 
C)  $f(x)=(x-2)^{2}-7$ 
D)  $f(x)=2(x+2)^{2}+7$ 
A)  $f(x)=(x-2)^{2}+7$ 
B)  $f(x)=(x+2)^{2}+7$ 
C)  $f(x)=(x-2)^{2}-7$ 
D)  $f(x)=2(x+2)^{2}+7$

Question 20

Graph the rational function.
-$f(x)=\frac{2}{(x-5)^{2}}$

Accepted Answer

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

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

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

Solve the problem. -A cereal factory has weekly fixed costs of $\$ 43,000$ . It costs $\$ 1.38$ to produce each box of cereal. A box of cereal sells for $\$ 3.94$ . Find the rule of the profit function $p(x)$ that gives the total weekly profit from $x$ boxes of cereal.

Give the equation of the horizontal asymptote of the rational function. - $g(x)=\frac{3}{x+4}$

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

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

Give the equation of the vertical asymptote(s) of the rational function. - $g(x)=\frac{3}{x+6}$

Solve the problem. -The graph of a function is given below. Tell whether the graph could possibly be the graph of a polynomial function. If it could be the graph of a polynomial function, tell which of the following are possible degrees for the polynomial function: 3, 4, 5, 6 .

Solve the problem. -The number of gaskets used in a plant is $R(x)=1200-40 x$ , where 1200 is the number of gaskets in one shipload and $x$ is the number of days after shipment. Orders are made when a 10-day gasket supply is left. How many days after delivery is an order made?

Solve the problem. -the size (in thousands) of a certain population in year $x$ is approximated by the function $h(x)=0.4 x^{2}+1.9 x+40$ (where $x=0$ corresponds to the year 1990). predict the size of the population in the year 1997 .

Find the appropriate linear cost or revenue function. -An electrician charges a fee of $\$ 50$ plus $\$ 35$ per hour. Let $C(x)$ be the cost in dollars of using the electrician for $x$ hours. Find the linear cost function.

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

Give the equation of the vertical asymptote(s) of the rational function. - $g(x)=\frac{2 x+7}{x-1}$

For the given function, find $\frac{f(x+h)-f(x)}{h}$ . - $x^{2}-4 x$

Graph the polynomial function. - $f(x)=x^{4}+4 x^{2}-2$ $Graph the polynomial function. - f(x)=x^{4}+4 x^{2}-2$

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex $(-4,2)$ ; point $(3,247)$

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex $(2,7)$ ; point $(4,11)$

Graph the rational function. - $f(x)=\frac{2}{(x-5)^{2}}$ $Graph the rational function. - f(x)=\frac{2}{(x-5)^{2}}$

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+3x−4f(x)=\frac{x+3}{x-4}f(x)=x−4x+3​

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

Give the equation of the horizontal asymptote of the rational function. - g(x)=3x+4g(x)=\frac{3}{x+4}g(x)=x+43​

Graph the rational function. - f(x)=2x−42x+3f(x)=\frac{2 x-4}{2 x+3}f(x)=2x+32x−4​

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

Give the equation of the vertical asymptote(s) of the rational function. - g(x)=3x+6g(x)=\frac{3}{x+6}g(x)=x+63​

Solve the problem. -The graph of a function is given below. Tell whether the graph could possibly be the graph of a polynomial function. If it could be the graph of a polynomial function, tell which of the following are possible degrees for the polynomial function: 3, 4, 5, 6 .

Solve the problem. -the size (in thousands) of a certain population in year xxx is approximated by the function h(x)=0.4x2+1.9x+40h(x)=0.4 x^{2}+1.9 x+40h(x)=0.4x2+1.9x+40 (where x=0x=0x=0 corresponds to the year 1990). predict the size of the population in the year 1997 .

Find the appropriate linear cost or revenue function. -An electrician charges a fee of $50\$ 50$50 plus $35\$ 35$35 per hour. Let C(x)C(x)C(x) be the cost in dollars of using the electrician for xxx hours. Find the linear cost function.

Give the equation of the horizontal asymptote of the rational function. - g(x)=65x+4g(x)=\frac{6}{5 x+4}g(x)=5x+46​

Give the equation of the vertical asymptote(s) of the rational function. - g(x)=2x+7x−1g(x)=\frac{2 x+7}{x-1}g(x)=x−12x+7​

For the given function, find f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​ . - x2−4xx^{2}-4 xx2−4x

Graph the polynomial function. - f(x)=x4+4x2−2f(x)=x^{4}+4 x^{2}-2f(x)=x4+4x2−2

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex (−4,2)(-4,2)(−4,2) ; point (3,247)(3,247)(3,247)

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex (2,7)(2,7)(2,7) ; point (4,11)(4,11)(4,11)

Graph the rational function. - f(x)=2(x−5)2f(x)=\frac{2}{(x-5)^{2}}f(x)=(x−5)22​

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

Give the equation of the horizontal asymptote of the rational function. - $g(x)=\frac{3}{x+4}$

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

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

Give the equation of the vertical asymptote(s) of the rational function. - $g(x)=\frac{3}{x+6}$

Solve the problem. -the size (in thousands) of a certain population in year $x$ is approximated by the function $h(x)=0.4 x^{2}+1.9 x+40$ (where $x=0$ corresponds to the year 1990). predict the size of the population in the year 1997 .

Find the appropriate linear cost or revenue function. -An electrician charges a fee of $\$ 50$ plus $\$ 35$ per hour. Let $C(x)$ be the cost in dollars of using the electrician for $x$ hours. Find the linear cost function.

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

Give the equation of the vertical asymptote(s) of the rational function. - $g(x)=\frac{2 x+7}{x-1}$

For the given function, find $\frac{f(x+h)-f(x)}{h}$ . - $x^{2}-4 x$

Graph the polynomial function. - $f(x)=x^{4}+4 x^{2}-2$ $Graph the polynomial function. - f(x)=x^{4}+4 x^{2}-2$

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex $(-4,2)$ ; point $(3,247)$

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point. -vertex $(2,7)$ ; point $(4,11)$

Graph the rational function. - $f(x)=\frac{2}{(x-5)^{2}}$ $Graph the rational function. - f(x)=\frac{2}{(x-5)^{2}}$