Question 1

Determine the slope and the y-intercept.
-f(x)= -8x - 1

Accepted Answer

A) Slope -1, y-intercept (0, 8) 
B) Slope -8, y-intercept (0, -1) 
C) Slope 8, y-intercept (0, -1) 
D) Slope -1, y-intercept (0, -8) 
A) Slope -1, y-intercept (0, 8) 
B) Slope -8, y-intercept (0, -1) 
C) Slope 8, y-intercept (0, -1) 
D) Slope -1, y-intercept (0, -8)

Question 2

Tell whether the lines are "parallel", "perpendicular", or "neither."
-$$\begin{array} { l } 
3 x - 9 y = - 11 \
27 x + 12 y = - 11
\end{array}$$

Accepted Answer

A)  Neither 
B)  Perpendicular 
C)  Parallel 
A)  Neither 
B)  Perpendicular 
C)  Parallel

Question 3

Provide an appropriate response.
-Explain why the order in which coordinates are subtracted to find slope does not matter as long as
x-coordinates are subtracted in the same order as y-coordinates.

Accepted Answer

The answer of Provide an appropriate response.
-Explain why the order...

Question 4

Graph using the slope and the y-intercept.
-$$f ( x ) = - \frac { 1 } { 4 } x + 2$$

Accepted Answer

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

Question 5

Find a linear function whose graph has the given slope and y-intercept.
-Slope $- \frac { 7 } { 8 } , \mathrm { y }$-intercept $\frac { 13 } { 2 }$

Accepted Answer

A)  $f ( x ) = \frac { 7 } { 8 } x + \frac { 13 } { 2 }$ 
B)  $f ( x ) = - \frac { 7 } { 8 } x - \frac { 13 } { 2 }$ 
C)  $f ( x ) = - \frac { 7 } { 8 } x + \frac { 13 } { 2 }$ 
D)  $f ( x ) = \frac { 7 } { 8 } x - \frac { 13 } { 2 }$ 
A)  $f ( x ) = \frac { 7 } { 8 } x + \frac { 13 } { 2 }$ 
B)  $f ( x ) = - \frac { 7 } { 8 } x - \frac { 13 } { 2 }$ 
C)  $f ( x ) = - \frac { 7 } { 8 } x + \frac { 13 } { 2 }$ 
D)  $f ( x ) = \frac { 7 } { 8 } x - \frac { 13 } { 2 }$

Question 6

Find the domain.
-$$f ( x ) = \frac { 1 } { | 51 - x | }$$

Accepted Answer

A)  $\{ x \mid x$ is a real number and $x z - 51 \}$ 
B)  $\{ x \mid x$ is a real number and $x < 51 \}$ 
C)  All real numbers 
D)  $\{ x \mid x$ is a real number and $x \neq 51 \}$ 
A)  $\{ x \mid x$ is a real number and $x z - 51 \}$ 
B)  $\{ x \mid x$ is a real number and $x < 51 \}$ 
C)  All real numbers 
D)  $\{ x \mid x$ is a real number and $x \neq 51 \}$

Question 7

Find the slope of the line containing the two given points.
-$( 17,9 )$ and $( 8,7 )$

Accepted Answer

A)  $\frac { 9 } { 2 }$ 
B)  $\frac { 16 } { 25 }$ 
C)  $- \frac { 2 } { 9 }$ 
D)  $\frac { 2 } { 9 }$ 
A)  $\frac { 9 } { 2 }$ 
B)  $\frac { 16 } { 25 }$ 
C)  $- \frac { 2 } { 9 }$ 
D)  $\frac { 2 } { 9 }$

Question 8

Solve the problem.
-The function $\mathrm { F }$ described by $\mathrm { F } ( \mathrm { C } ) = \frac { 9 } { 5 } \mathrm { C } + 32$ gives the Fahrenheit temperature corresponding to the Celsius temperature $\mathrm { C }$. Find the Fahrenheit temperature equivalent to $- 30 ^ { \circ } \mathrm { C }$.

Accepted Answer

A)  $- 76 ^ { \circ } \mathrm { F }$ 
B)  $- 184 ^ { \circ } \mathrm { F }$ 
C)  $- 22 ^ { \circ } \mathrm { F }$ 
D)  $- 130 ^ { \circ } \mathrm { F }$ 
A)  $- 76 ^ { \circ } \mathrm { F }$ 
B)  $- 184 ^ { \circ } \mathrm { F }$ 
C)  $- 22 ^ { \circ } \mathrm { F }$ 
D)  $- 130 ^ { \circ } \mathrm { F }$

Question 9

Find a linear function whose graph has the given slope and y-intercept.
-Slope $\frac { 1 } { 3 } , \mathrm { y }$-intercept $( 0,4 )$

Accepted Answer

A)  $f ( x ) = - \frac { 1 } { 3 } x - 4$ 
B)  $f ( x ) = \frac { 1 } { 3 } x - 4$ 
C)  $f ( x ) = \frac { 1 } { 3 } x + 4$ 
D)  $f ( x ) = - \frac { 1 } { 3 } x + 4$ 
A)  $f ( x ) = - \frac { 1 } { 3 } x - 4$ 
B)  $f ( x ) = \frac { 1 } { 3 } x - 4$ 
C)  $f ( x ) = \frac { 1 } { 3 } x + 4$ 
D)  $f ( x ) = - \frac { 1 } { 3 } x + 4$

Question 10

Find an equation of the line having the specified slope and containing the indicated point. Write your answer in
slope-intercept form.
-m = 8; (0, -4)

Accepted Answer

A) y = 8x + 4 
B) y = -8x - 2 
C) y = 8x + 6 
D) y = 8x - 4 
A) y = 8x + 4 
B) y = -8x - 2 
C) y = 8x + 6 
D) y = 8x - 4

Question 11

Find the domain.
-$$f ( x ) = x ^ { 3 } + 4$$

Accepted Answer

A)  $\{ x \mid x$ is a real number and $x \neq - 4 \}$ 
B)  All real numbers 
C)  $\{ x \mid x$ is a real number and $x \neq 4 \}$ 
D)  $\{ x \mid x$ is a real number and $x \neq \sqrt [ 3 ] { 4 } \}$ 
A)  $\{ x \mid x$ is a real number and $x \neq - 4 \}$ 
B)  All real numbers 
C)  $\{ x \mid x$ is a real number and $x \neq 4 \}$ 
D)  $\{ x \mid x$ is a real number and $x \neq \sqrt [ 3 ] { 4 } \}$

Question 12

Find the function value.
-Find $f ( 0 )$ when $f ( x ) = x ^ { 2 } - 5 x + 2$.

Accepted Answer

A)  4 
B)  0 
C)  $- 2$ 
D)  2 
A)  4 
B)  0 
C)  $- 2$ 
D)  2

Question 13

Is the following correspondence a function?
-Domain: All students attending the University of Ohio Correspondence: Each student's teachers Range: A set of teachers

Accepted Answer

A) True 
 B)False

Question 14

Find a linear function whose graph has the given slope and y-intercept.
-Slope $- \frac { 5 } { 7 } , \mathrm { y }$-intercept 5

Accepted Answer

A)  $f ( x ) = \frac { 5 } { 7 } x + 5$ 
B)  $f ( x ) = - \frac { 5 } { 7 } x + 5$ 
C)  $f ( x ) = \frac { 5 } { 7 } x - 5$ 
D)  $f ( x ) = - \frac { 5 } { 7 } x - 5$ 
A)  $f ( x ) = \frac { 5 } { 7 } x + 5$ 
B)  $f ( x ) = - \frac { 5 } { 7 } x + 5$ 
C)  $f ( x ) = \frac { 5 } { 7 } x - 5$ 
D)  $f ( x ) = - \frac { 5 } { 7 } x - 5$

Question 15

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

Accepted Answer

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

Question 16

For the function represented in the graph, determine the domain or range, as requested.
-Find the domain.

Accepted Answer

A)  $\{ x \mid - 5 \leq x \leq 5 \}$ 
B)  $\{ x \mid - 3 \leq x \leq 3 \}$ 
C)  all real numbers 
D)  $\{ x \mid - 18 \leq x \leq 18 \}$ 
A)  $\{ x \mid - 5 \leq x \leq 5 \}$ 
B)  $\{ x \mid - 3 \leq x \leq 3 \}$ 
C)  all real numbers 
D)  $\{ x \mid - 18 \leq x \leq 18 \}$

Question 17

Find the domain.
-$$f ( x ) = | 3 x + 8 |$$

Accepted Answer

A)  $\{ x \mid x$ is a real number and $x \neq - 2.6666667 \}$ 
B)  $\{ x \mid x$ is a real number and $x \neq - 0.375 \}$ 
C)  $\{ x \mid x$ is a real number and $x \neq - 8 \}$ 
D)  All real numbers 
A)  $\{ x \mid x$ is a real number and $x \neq - 2.6666667 \}$ 
B)  $\{ x \mid x$ is a real number and $x \neq - 0.375 \}$ 
C)  $\{ x \mid x$ is a real number and $x \neq - 8 \}$ 
D)  All real numbers

Question 18

If possible, determine the slope.
-x = 3

Accepted Answer

A) Not defined 
B) $\frac{1}{3}$ 
C) 0 
D)  3 
A) Not defined 
B) $\frac{1}{3}$ 
C) 0 
D)  3

Question 19

Solve the problem.
-In 1995 the United States recovered 25% of its municipal solid wastes through recycling, up from 17% in 1990. Let P represent the percentage recycled and t the number of years since 1990. Find a linear function P(t)that fits
This data.

Accepted Answer

A) P(t)= -1.6t + 7 
B) P(t)= 0.8t - 17 
C) P(t)= 1.6t + 17 
D) P(t)= 1.6t + 24 
A) P(t)= -1.6t + 7 
B) P(t)= 0.8t - 17 
C) P(t)= 1.6t + 17 
D) P(t)= 1.6t + 24

Question 20

Determine the slope and the y-intercept.
-$$4 x - 5 y + 5 = 0$$

Accepted Answer

A)  Slope $\frac { 4 } { 5 } , y$-intercept $( 0,1 )$ 
B)  Slope $- \frac { 5 } { 4 } , \mathrm { y }$-intercept $( 0,1 )$ 
C)  Slope $- \frac { 4 } { 5 } , \mathrm { y }$-intercept $( 0 , - 1 )$ 
D)  Slope $\frac { 5 } { 4 } , y$-intercept $( 0 , - 1 )$ 
A)  Slope $\frac { 4 } { 5 } , y$-intercept $( 0,1 )$ 
B)  Slope $- \frac { 5 } { 4 } , \mathrm { y }$-intercept $( 0,1 )$ 
C)  Slope $- \frac { 4 } { 5 } , \mathrm { y }$-intercept $( 0 , - 1 )$ 
D)  Slope $\frac { 5 } { 4 } , y$-intercept $( 0 , - 1 )$

Determine the slope and the y-intercept. -f(x)= -8x - 1

Tell whether the lines are "parallel", "perpendicular", or "neither." - 3x-9y=-11 27x+12y=-11

Provide an appropriate response. -Explain why the order in which coordinates are subtracted to find slope does not matter as long as x-coordinates are subtracted in the same order as y-coordinates.

Graph using the slope and the y-intercept. - $f ( x ) = - \frac { 1 } { 4 } x + 2$ $Graph using the slope and the y-intercept. - f ( x ) = - \frac { 1 } { 4 } x + 2$

Find a linear function whose graph has the given slope and y-intercept. -Slope $- \frac { 7 } { 8 } , \mathrm { y }$ -intercept $\frac { 13 } { 2 }$

Find the domain. - $f ( x ) = \frac { 1 } { | 51 - x | }$

Find the slope of the line containing the two given points. - $( 17,9 )$ and $( 8,7 )$

Find a linear function whose graph has the given slope and y-intercept. -Slope $\frac { 1 } { 3 } , \mathrm { y }$ -intercept $( 0,4 )$

Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form. -m = 8; (0, -4)

Find the domain. - $f ( x ) = x ^ { 3 } + 4$

Find the function value. -Find $f ( 0 )$ when $f ( x ) = x ^ { 2 } - 5 x + 2$ .

Is the following correspondence a function? -Domain: All students attending the University of Ohio Correspondence: Each student's teachers Range: A set of teachers

Find a linear function whose graph has the given slope and y-intercept. -Slope $- \frac { 5 } { 7 } , \mathrm { y }$ -intercept 5

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

For the function represented in the graph, determine the domain or range, as requested. -Find the domain.

Find the domain. - $f ( x ) = | 3 x + 8 |$

If possible, determine the slope. -x = 3

Solve the problem. -In 1995 the United States recovered 25% of its municipal solid wastes through recycling, up from 17% in 1990. Let P represent the percentage recycled and t the number of years since 1990. Find a linear function P(t)that fits This data.

Determine the slope and the y-intercept. - $4 x - 5 y + 5 = 0$

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Filters

Exam 7: Graphs, Functions, and Applications