Question 1

Find the domain of the function.
-$$y = \sqrt { 20 - x }$$

Accepted Answer

A)  $( - \infty , \infty )$ 
B)  $( \sqrt { 20 } , \infty )$ 
C)  all real numbers except 20 
D)  $[ \infty , 20 ]$ 
A)  $( - \infty , \infty )$ 
B)  $( \sqrt { 20 } , \infty )$ 
C)  all real numbers except 20 
D)  $[ \infty , 20 ]$

Question 2

(-5,2)  and  (-5,8)

Accepted Answer

A)   y=2 
B)   x=-5 
C)   2 x+8 y=0 
D)   8 x+2 y=0 
A)   y=2 
B)   x=-5 
C)   2 x+8 y=0 
D)   8 x+2 y=0

Question 3

$y = 3 x ^ { 3 } + 8 x ^ { 2 } + 2$ between  x=-7  and  x=5

Accepted Answer

A) . $\frac { 577 } { 5 }$ 
B)  $\frac { 577 } { 12 }$ 
C)  $\frac { 1212 } { 5 }$ 
D)  101 
A) . $\frac { 577 } { 5 }$ 
B)  $\frac { 577 } { 12 }$ 
C)  $\frac { 1212 } { 5 }$ 
D)  101

Question 4

State whether the graph is or is not that of a function.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 5

Find the domain of the function.
-$$y = \frac { x } { \sqrt { x - 4 } }$$

Accepted Answer

A)  $( 4 , \infty )$ 
B)  all real numbers except 4 
C)  $[ 4 , \infty )$ 
D)  $( - \infty , \infty )$ 
A)  $( 4 , \infty )$ 
B)  all real numbers except 4 
C)  $[ 4 , \infty )$ 
D)  $( - \infty , \infty )$

Question 6

Provide an appropriate response.
-Give a definition of Range.

Accepted Answer

The set of all value

Question 7

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation.
-$y=7$

Accepted Answer

A)  $x : 7 ; y :$ none
  
B)  $x$ : none; $y : 7$
  
C)  $x$ : $7 ; y$ : none
  
D)  $x$ : none; $y : 7$
  
A)  $x : 7 ; y :$ none
  
B)  $x$ : none; $y : 7$
  
C)  $x$ : $7 ; y$ : none
  
D)  $x$ : none; $y : 7$

Question 8

For the function $y = f ( x )$ described by the table, find $f ( 1 )$.

Accepted Answer

A)  $- 2$ 
B)  $- 5$ 
C)  0 
D)  Not shown 
A)  $- 2$ 
B)  $- 5$ 
C)  0 
D)  Not shown

Question 9

Write the equation of the line using the information given about its graph.
-Slope $- \frac { 2 } { 7 } , y$-intercept $\frac { 43 } { 7 }$

Accepted Answer

A)  $y = - \frac { 2 } { 7 } x - \frac { 43 } { 7 }$ 
B)  $y = - \frac { 2 } { 7 } x + \frac { 43 } { 7 }$ 
C)  $y = \frac { 2 } { 7 } x + \frac { 43 } { 7 }$ 
D)  $y = \frac { 2 } { 7 } x - \frac { 43 } { 7 }$ 
A)  $y = - \frac { 2 } { 7 } x - \frac { 43 } { 7 }$ 
B)  $y = - \frac { 2 } { 7 } x + \frac { 43 } { 7 }$ 
C)  $y = \frac { 2 } { 7 } x + \frac { 43 } { 7 }$ 
D)  $y = \frac { 2 } { 7 } x - \frac { 43 } { 7 }$

Question 10

y=8+3x

Accepted Answer

A)  Slope  8 ; y -intercept  (0,3) 
B)  Slope  3 ;  y-intercept  (0,8) 
C)  Slope  -8 ;  y-intercept  (0,3) 
D)  Slope  -3 ;  y-intercept  (0,8) 
A)  Slope  8 ; y -intercept  (0,3) 
B)  Slope  3 ;  y-intercept  (0,8) 
C)  Slope  -8 ;  y-intercept  (0,3) 
D)  Slope  -3 ;  y-intercept  (0,8)

Question 11

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation.
-$5 x-15 y=0$

Accepted Answer

A)  $x : 0 ; y : 0$
  
B)  $x : 0 ; y : 0$
  
C)  $x : 0 ; y : 0$
  
D)  $x : 0 ; y : 0$
  
A)  $x : 0 ; y : 0$
  
B)  $x : 0 ; y : 0$
  
C)  $x : 0 ; y : 0$
  
D)  $x : 0 ; y : 0$

Question 12

Explain what is wrong with the statement "The line has no slope."

Accepted Answer

Answers may vary. One possibil

Question 13

Write the equation of the line with the given conditions.
-passing through $( - 8 , - 3 )$ and parallel to the line with equation $5 x - 7 y = 9$

Accepted Answer

A)  $y = \frac { 7 } { 5 } x - \frac { 3 } { 5 }$ 
B)  $y = - \frac { 5 } { 7 } x - \frac { 19 } { 7 }$ 
C)  $y = - \frac { 8 } { 7 } x - \frac { 9 } { 7 }$ 
D)  $y = \frac { 5 } { 7 } x + \frac { 19 } { 7 }$ 
A)  $y = \frac { 7 } { 5 } x - \frac { 3 } { 5 }$ 
B)  $y = - \frac { 5 } { 7 } x - \frac { 19 } { 7 }$ 
C)  $y = - \frac { 8 } { 7 } x - \frac { 9 } { 7 }$ 
D)  $y = \frac { 5 } { 7 } x + \frac { 19 } { 7 }$

Question 14

Write the slope-intercept form of the equation for the line passing through the given pair of points.
-$( - 5 , - 3 )$ and $( - 1 , - 6 )$

Accepted Answer

A)  $y = \frac { 2 } { 5 } x - \frac { 32 } { 5 }$ 
B)  $y = \frac { 3 } { 4 } x - \frac { 27 } { 4 }$ 
C)  $y = - \frac { 2 } { 5 } x - \frac { 32 } { 5 }$ 
D)  $y = - \frac { 3 } { 4 } x - \frac { 27 } { 4 }$ 
A)  $y = \frac { 2 } { 5 } x - \frac { 32 } { 5 }$ 
B)  $y = \frac { 3 } { 4 } x - \frac { 27 } { 4 }$ 
C)  $y = - \frac { 2 } { 5 } x - \frac { 32 } { 5 }$ 
D)  $y = - \frac { 3 } { 4 } x - \frac { 27 } { 4 }$

Question 15

Decide whether or not the set of ordered pairs defines a function.
-$\{ ( 2,4 ) , ( 2,7 ) , ( 4,4 ) , ( 8 , - 3 ) , ( 10,5 ) \}$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 16

(-7,3)  and  (2,3)

Accepted Answer

A)  9 
B)  Undefined 
C)  0 
D)   -9 
A)  9 
B)  Undefined 
C)  0 
D)   -9

Question 17

The population of a formerly endangered mouse is now on the rise. The population, N, over the last 8 years can be represented with the following graph:   When was the mice population the lowest?

Accepted Answer

A)  Just after the end of the third year. 
B)  At the beginning of the 8 year period. 
C)  Just before the end of the second year. 
D)  During the fifth year. 
A)  Just after the end of the third year. 
B)  At the beginning of the 8 year period. 
C)  Just before the end of the second year. 
D)  During the fifth year.

Question 18

Find the average rate of change for the function over the given interval.
-$$y = 4 x ^ { 2 } \text { between } x = 0 \text { to } x = \frac { 7 } { 4 }$$

Accepted Answer

A)  $- \frac { 3 } { 10 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  2 
D)  7 
A)  $- \frac { 3 } { 10 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  2 
D)  7

Question 19

In 2012, a certain country recovered 26% of its municipal solid wastes through recycling, up from 17% in 2007. Let P represent the percentage recycled and t the number of years since 2007. Find a linear equation for P as a
Function of t.

Accepted Answer

A)  $\mathrm { P } = 1.8 \mathrm { t } + 17$ 
B)  $P = 0.9 t - 17$ 
C)  $P = - 1.8 t + 7$ 
D)  $P = 1.8 t + 24$ 
A)  $\mathrm { P } = 1.8 \mathrm { t } + 17$ 
B)  $P = 0.9 t - 17$ 
C)  $P = - 1.8 t + 7$ 
D)  $P = 1.8 t + 24$

Question 20

$$\text { For the function } \mathrm { y } = \mathrm { f } ( \mathrm { x } ) \text { described by the table, find } \mathrm { f } ( 2 )$$

Accepted Answer

A)  10 
B)  13 
C)  7 
D)  16 
A)  10 
B)  13 
C)  7 
D)  16

Find the domain of the function. - $y = \sqrt { 20 - x }$

(-5,2) and (-5,8)

$y = 3 x ^ { 3 } + 8 x ^ { 2 } + 2$ between x=-7 and x=5

State whether the graph is or is not that of a function. -

Find the domain of the function. - $y = \frac { x } { \sqrt { x - 4 } }$

Provide an appropriate response. -Give a definition of Range.

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $y=7$

For the function $y = f ( x )$ described by the table, find $f ( 1 )$ .

Write the equation of the line using the information given about its graph. -Slope $- \frac { 2 } { 7 } , y$ -intercept $\frac { 43 } { 7 }$

y=8+3x

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $5 x-15 y=0$

Explain what is wrong with the statement "The line has no slope."

Write the equation of the line with the given conditions. -passing through $( - 8 , - 3 )$ and parallel to the line with equation $5 x - 7 y = 9$

Write the slope-intercept form of the equation for the line passing through the given pair of points. - $( - 5 , - 3 )$ and $( - 1 , - 6 )$

Decide whether or not the set of ordered pairs defines a function. - $\{ ( 2,4 ) , ( 2,7 ) , ( 4,4 ) , ( 8 , - 3 ) , ( 10,5 ) \}$

(-7,3) and (2,3)

The population of a formerly endangered mouse is now on the rise. The population, N, over the last 8 years can be represented with the following graph: When was the mice population the lowest?

Find the average rate of change for the function over the given interval. - $y = 4 x ^ { 2 } \text { between } x = 0 \text { to } x = \frac { 7 } { 4 }$

In 2012, a certain country recovered 26% of its municipal solid wastes through recycling, up from 17% in 2007. Let P represent the percentage recycled and t the number of years since 2007. Find a linear equation for P as a Function of t.

$\text { For the function } \mathrm { y } = \mathrm { f } ( \mathrm { x } ) \text { described by the table, find } \mathrm { f } ( 2 )$ $\text { For the function } \mathrm { y } = \mathrm { f } ( \mathrm { x } ) \text { described by the table, find } \mathrm { f } ( 2 )$

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Exam 1: Functions, Graphs, and Models; Linear Functions

Find the domain of the function. - y=20−xy = \sqrt { 20 - x }y=20−x​

(-5,2) and (-5,8)

y=3x3+8x2+2y = 3 x ^ { 3 } + 8 x ^ { 2 } + 2y=3x3+8x2+2 between x=-7 and x=5

State whether the graph is or is not that of a function. -

Find the domain of the function. - y=xx−4y = \frac { x } { \sqrt { x - 4 } }y=x−4​x​

Provide an appropriate response. -Give a definition of Range.

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - y=7y=7y=7

For the function y=f(x)y = f ( x )y=f(x) described by the table, find f(1)f ( 1 )f(1) .

Write the equation of the line using the information given about its graph. -Slope −27,y- \frac { 2 } { 7 } , y−72​,y -intercept 437\frac { 43 } { 7 }743​

y=8+3x

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - 5x−15y=05 x-15 y=05x−15y=0

Explain what is wrong with the statement "The line has no slope."

Write the equation of the line with the given conditions. -passing through (−8,−3)( - 8 , - 3 )(−8,−3) and parallel to the line with equation 5x−7y=95 x - 7 y = 95x−7y=9

Write the slope-intercept form of the equation for the line passing through the given pair of points. - (−5,−3)( - 5 , - 3 )(−5,−3) and (−1,−6)( - 1 , - 6 )(−1,−6)

Decide whether or not the set of ordered pairs defines a function. - {(2,4),(2,7),(4,4),(8,−3),(10,5)}\{ ( 2,4 ) , ( 2,7 ) , ( 4,4 ) , ( 8 , - 3 ) , ( 10,5 ) \}{(2,4),(2,7),(4,4),(8,−3),(10,5)}

(-7,3) and (2,3)

The population of a formerly endangered mouse is now on the rise. The population, N, over the last 8 years can be represented with the following graph: When was the mice population the lowest?

Find the average rate of change for the function over the given interval. - y=4x2 between x=0 to x=74y = 4 x ^ { 2 } \text { between } x = 0 \text { to } x = \frac { 7 } { 4 }y=4x2 between x=0 to x=47​

In 2012, a certain country recovered 26% of its municipal solid wastes through recycling, up from 17% in 2007. Let P represent the percentage recycled and t the number of years since 2007. Find a linear equation for P as a Function of t.

For the function y=f(x) described by the table, find f(2)\text { For the function } \mathrm { y } = \mathrm { f } ( \mathrm { x } ) \text { described by the table, find } \mathrm { f } ( 2 ) For the function y=f(x) described by the table, find f(2)

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Find the domain of the function. - $y = \sqrt { 20 - x }$

$y = 3 x ^ { 3 } + 8 x ^ { 2 } + 2$ between x=-7 and x=5

Find the domain of the function. - $y = \frac { x } { \sqrt { x - 4 } }$

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $y=7$

For the function $y = f ( x )$ described by the table, find $f ( 1 )$ .

Write the equation of the line using the information given about its graph. -Slope $- \frac { 2 } { 7 } , y$ -intercept $\frac { 43 } { 7 }$

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $5 x-15 y=0$

Write the equation of the line with the given conditions. -passing through $( - 8 , - 3 )$ and parallel to the line with equation $5 x - 7 y = 9$

Write the slope-intercept form of the equation for the line passing through the given pair of points. - $( - 5 , - 3 )$ and $( - 1 , - 6 )$

Decide whether or not the set of ordered pairs defines a function. - $\{ ( 2,4 ) , ( 2,7 ) , ( 4,4 ) , ( 8 , - 3 ) , ( 10,5 ) \}$

Find the average rate of change for the function over the given interval. - $y = 4 x ^ { 2 } \text { between } x = 0 \text { to } x = \frac { 7 } { 4 }$

$\text { For the function } \mathrm { y } = \mathrm { f } ( \mathrm { x } ) \text { described by the table, find } \mathrm { f } ( 2 )$ $\text { For the function } \mathrm { y } = \mathrm { f } ( \mathrm { x } ) \text { described by the table, find } \mathrm { f } ( 2 )$