Question 1

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

Accepted Answer

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

Question 2

Write an equation of the line. Write the equation in the form x = a, y = b, or y = mx + b.
-Through  (4,7) ;  parallel to  y=5 x-6

Accepted Answer

A)   y=5 x+27 
B)   y=-5 x-13 
C)   y=5 x-13 
D)   y=5 x+7 
A)   y=5 x+27 
B)   y=-5 x-13 
C)   y=5 x-13 
D)   y=5 x+7

Question 3

Determine whether the relation is also a function.
-{(-4, 9), (-3, -9), (-1, -4), (-1, -1)}

Accepted Answer

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

Question 4

Graph the piecewise defined function.
-$f ( x ) = \left\{ \begin{array} { l l } 
- 1 & \text { if } x < - 6 \
- 6 & \text { if } x \geq - 6
\end{array} \right.$

Accepted Answer

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

Question 5

Graph the inequality.
-$y<-x-6$

Accepted Answer

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

Question 6

Write an equation of the line with the given slope and containing the given point. Write the equation in the
slope-intercept form y = mx + b.
-Slope 3; through  (-4,-2)

Accepted Answer

A)   y=3x-10 
B)   y+2=mx+4 
C)   y+2=x+4 
D)   y=3x+10 
A)   y=3x-10 
B)   y+2=mx+4 
C)   y+2=x+4 
D)   y=3x+10

Question 7

Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept.
-Slope -4; y-intercept $( 0,9 )$

Accepted Answer

A)  $y = - 4 x + 9$ 
B)  $y = - 9 x + 4$ 
C)  $y = 9 x - 4$ 
D)  $y = 4 x - 9$ 
A)  $y = - 4 x + 9$ 
B)  $y = - 9 x + 4$ 
C)  $y = 9 x - 4$ 
D)  $y = 4 x - 9$

Question 8

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The table shows the number of cans of pop sold at a campus stand on five days with different high temperatures for the day. Write the paired data as order pairs of the form (temperature, cans). Then create a scatter diagram of the ordered pairs.
$\begin{array} { c | c } 
\text { High Temperature } \left( \text { in } ^ { \circ } \mathrm { F } \right) & \text { Number of Cans Sol } \
\hline 70 & 325 \
75 & 350 \
80 & 440 \
85 & 470 \
90 & 575
\end{array}$

Accepted Answer

The answer of Write the word or phrase that best...

Question 9

Write an equation of the line with the given slope and containing the given point. Write the equation in the
slope-intercept form y = mx + b.
-Slope -$\frac { 3 } { 5 }$ ; through  (2,4)

Accepted Answer

A)  $y = \frac { 3 } { 5 } x - \frac { 26 } { 5 }$ 
B)  $y = \frac { 3 } { 5 } x + \frac { 26 } { 5 }$ 
C)  $y = - \frac { 3 } { 5 } x + \frac { 26 } { 5 }$ 
D)  $y = - \frac { 3 } { 5 } x - \frac { 26 } { 5 }$ 
A)  $y = \frac { 3 } { 5 } x - \frac { 26 } { 5 }$ 
B)  $y = \frac { 3 } { 5 } x + \frac { 26 } { 5 }$ 
C)  $y = - \frac { 3 } { 5 } x + \frac { 26 } { 5 }$ 
D)  $y = - \frac { 3 } { 5 } x - \frac { 26 } { 5 }$

Question 10

Write the word or phrase that best completes each statement or answers the question.
-y = 12; (12, 0)

Accepted Answer

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

Question 11

Solve.
hat
-A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 3 seconds, the gauge on the bottle indicates that it contains 14 ounces of water. After it has been filling for 10 seconds, the gauge indicates the bottle contains 42 ounces of water. Let $y$ be the amount of water in the bottle $x$ seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of $x$.

Accepted Answer

A)  $y = - 4 x + 26$ 
B)  $y = 4 x + 32$ 
C)  $y = \frac { 1 } { 4 } x + \frac { 53 } { 4 }$ 
D)  $y = 4 x + 2$ 
A)  $y = - 4 x + 26$ 
B)  $y = 4 x + 32$ 
C)  $y = \frac { 1 } { 4 } x + \frac { 53 } { 4 }$ 
D)  $y = 4 x + 2$

Question 12

Fill in the blank with one of the words or phrases listed below. $\begin{array}{lllll}
\text { relation } & \text { line } & \text { function } & \text { standard } & \text { parallel } \
\text { slope-intercept } & \mathrm{x} & \mathrm{y} & \text { range } & \text { domain } \
\text { point-slope } & \text { perpendicular } & \text { linear inequalityslope } & \text { linear function }
\end{array}$

-A is a relation in which each first component in the ordered pairs corresponds to exactly one second component..

Accepted Answer

A)  linear inequality 
B)  range 
C)  domain 
D)  function 
A)  linear inequality 
B)  range 
C)  domain 
D)  function

Question 13

Find the domain and range.
- {(7,2),(7,-7),(7,-5)}

Accepted Answer

A)  Domain:  {2,7} ;  range:  {-7,-5} 
B)  Domain:  {-7,-5,2} ; range:  {7} 
C)  Domain:  {7} ;  range:  {-7,-5,2,7} 
D)  Domain:  {7} ;  range:  {-7,-5,2} 
A)  Domain:  {2,7} ;  range:  {-7,-5} 
B)  Domain:  {-7,-5,2} ; range:  {7} 
C)  Domain:  {7} ;  range:  {-7,-5,2,7} 
D)  Domain:  {7} ;  range:  {-7,-5,2}

Question 14

Find the slope of the line if it exists.
-

Accepted Answer

A)  1 
B)  6 
C)  $- 1$ 
D)  $- 6$ 
A)  1 
B)  6 
C)  $- 1$ 
D)  $- 6$

Question 15

Find the function value.
-Find  f(0)  when  f(x)=5x2

Accepted Answer

A)  25 
B)  10 
C)  5 
D)  0 
A)  25 
B)  10 
C)  5 
D)  0

Question 16

Determine whether the relation is also a function.
-y=x2

Accepted Answer

A)  Function 
B)  Not a function 
A)  Function 
B)  Not a function

Question 17

Find the slope of the line.
-$$4 y - 2 x = - 16$$

Accepted Answer

A)  $- 4$ 
B)  $\frac { 1 } { 2 }$ 
C) $ = 2$ 
D)  $- \frac { 1 } { 2 }$ 
A)  $- 4$ 
B)  $\frac { 1 } { 2 }$ 
C) $ = 2$ 
D)  $- \frac { 1 } { 2 }$

Question 18

Find the slope of the line containing the pair of points.
-$( 4 , - 9 )$ and $( 2 , - 7 )$

Accepted Answer

A)  $- 2$ 
B)  $- 1$ 
C)  2 
D)  Undefined 
A)  $- 2$ 
B)  $- 1$ 
C)  2 
D)  Undefined

Question 19

Interpret the linear equation.
-The speed of a ball dropped from a tower is given by the linear function y = 32x where y is in feet per second and x is the number of seconds since the ball was dropped. Find and interpret the slope and y-intercept of the
Linear equation.

Accepted Answer

A)  m = 32; The speed of the ball increases 32 feet per second every second. There is no y-intercept to interpret. 
B)  m = 32; The speed of the ball is 32 feet per second. b = 0; When the ball is dropped at x = 0, the ball has fallen 0 feet. 
C)  m = 32; The speed of the ball increases 32 feet per second every second. b = 0; The speed of the ball was 0 the moment it was dropped. 
D)  m = 0; The speed of the ball does not increase as time passes. b = 32; At time x = 0, the ball has fallen 32 feet. 
A)  m = 32; The speed of the ball increases 32 feet per second every second. There is no y-intercept to interpret. 
B)  m = 32; The speed of the ball is 32 feet per second. b = 0; When the ball is dropped at x = 0, the ball has fallen 0 feet. 
C)  m = 32; The speed of the ball increases 32 feet per second every second. b = 0; The speed of the ball was 0 the moment it was dropped. 
D)  m = 0; The speed of the ball does not increase as time passes. b = 32; At time x = 0, the ball has fallen 32 feet.

Question 20

Fill in the blank with one of the words or phrases listed below. $\begin{array}{lllll}
\text { relation } & \text { line } & \text { function } & \text { standard } & \text { parallel } \
\text { slope-intercept } & \mathrm{x} & \mathrm{y} & \text { range } & \text { domain } \
\text { point-slope } & \text { perpendicular } & \text { linear inequalityslope } & \text { linear function }
\end{array}$

-To find the y-intercept of a linear equation, let = 0 and solve for the other variable.

Accepted Answer

A)  y 
B)  slope 
C)  range 
D)  x 
A)  y 
B)  slope 
C)  range 
D)  x

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

Write an equation of the line. Write the equation in the form x = a, y = b, or y = mx + b. -Through (4,7) ; parallel to y=5 x-6

Determine whether the relation is also a function. -{(-4, 9), (-3, -9), (-1, -4), (-1, -1)}

Graph the inequality. - $y<-x-6$

Write an equation of the line with the given slope and containing the given point. Write the equation in the slope-intercept form y = mx + b. -Slope 3; through (-4,-2)

Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept. -Slope -4; y-intercept $( 0,9 )$

Write an equation of the line with the given slope and containing the given point. Write the equation in the slope-intercept form y = mx + b. -Slope - $\frac { 3 } { 5 }$ ; through (2,4)

Write the word or phrase that best completes each statement or answers the question. -y = 12; (12, 0)

Find the domain and range. - {(7,2),(7,-7),(7,-5)}

Find the slope of the line if it exists. -

Find the function value. -Find f(0) when f(x)=5x²

Determine whether the relation is also a function. -y=x²

Find the slope of the line. - $4 y - 2 x = - 16$

Find the slope of the line containing the pair of points. - $( 4 , - 9 )$ and $( 2 , - 7 )$

Interpret the linear equation. -The speed of a ball dropped from a tower is given by the linear function y = 32x where y is in feet per second and x is the number of seconds since the ball was dropped. Find and interpret the slope and y-intercept of the Linear equation.

Fill in the blank with one of the words or phrases listed below. relation line function standard parallel slope-intercept range domain point-slope perpendicular linear inequalityslope linear function -To find the y-intercept of a linear equation, let = 0 and solve for the other variable.

Real Numbers and Algebraic Expressions

Equations, Inequalities, and Problem Solving

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Fractions

Filters

Exam 3: Graphs and Functions

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

Write an equation of the line. Write the equation in the form x = a, y = b, or y = mx + b. -Through (4,7) ; parallel to y=5 x-6

Determine whether the relation is also a function. -{(-4, 9), (-3, -9), (-1, -4), (-1, -1)}

Graph the piecewise defined function. - f(x)={−1 if x<−6−6 if x≥−6f ( x ) = \left\{ \begin{array} { l l } - 1 & \text { if } x < - 6 \\- 6 & \text { if } x \geq - 6\end{array} \right.f(x)={−1−6​ if x<−6 if x≥−6​

Graph the inequality. - y<−x−6y<-x-6y<−x−6

Write an equation of the line with the given slope and containing the given point. Write the equation in the slope-intercept form y = mx + b. -Slope 3; through (-4,-2)

Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept. -Slope -4; y-intercept (0,9)( 0,9 )(0,9)

Write an equation of the line with the given slope and containing the given point. Write the equation in the slope-intercept form y = mx + b. -Slope - 35\frac { 3 } { 5 }53​ ; through (2,4)

Write the word or phrase that best completes each statement or answers the question. -y = 12; (12, 0)

Find the domain and range. - {(7,2),(7,-7),(7,-5)}

Find the slope of the line if it exists. -

Find the function value. -Find f(0) when f(x)=5x2

Determine whether the relation is also a function. -y=x2

Find the slope of the line. - 4y−2x=−164 y - 2 x = - 164y−2x=−16

Find the slope of the line containing the pair of points. - (4,−9)( 4 , - 9 )(4,−9) and (2,−7)( 2 , - 7 )(2,−7)

Interpret the linear equation. -The speed of a ball dropped from a tower is given by the linear function y = 32x where y is in feet per second and x is the number of seconds since the ball was dropped. Find and interpret the slope and y-intercept of the Linear equation.

Fill in the blank with one of the words or phrases listed below. relation line function standard parallel slope-intercept range domain point-slope perpendicular linear inequalityslope linear function -To find the y-intercept of a linear equation, let = 0 and solve for the other variable.

Real Numbers and Algebraic Expressions

Equations, Inequalities, and Problem Solving

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Fractions

Filters

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

Graph the inequality. - $y<-x-6$

Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept. -Slope -4; y-intercept $( 0,9 )$

Write an equation of the line with the given slope and containing the given point. Write the equation in the slope-intercept form y = mx + b. -Slope - $\frac { 3 } { 5 }$ ; through (2,4)

Find the function value. -Find f(0) when f(x)=5x²

Determine whether the relation is also a function. -y=x²

Find the slope of the line. - $4 y - 2 x = - 16$

Find the slope of the line containing the pair of points. - $( 4 , - 9 )$ and $( 2 , - 7 )$