Decide whether the relation defines a function. -Annual New Telemarketing Companies \[\begin{array} { c | c } \text { Year } & \text { Number } \\ \hline 1995 & 75 \\ 1996 & 150 \\ 1997 & 225 \\ 1998 & 235 \\ 1999 & 375 \end{array}\]

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

List the ordered pairs from the table. -Sales at the University Bookstore \[\begin{array} { c | r } \text { Month } & \ { \text { Sales } } \\ \hline 1 & \$ 720,000 \\ 2 & \$ 180,000 \\ 3 & \$ 1,060,000 \\ 4 & \$ 300,000 \end{array}\]

A) (1, 180,000), (2, 720,000), (3, 300,000), (4, 1,060,000) B) (720,000, 1), (180,000, 2), (1,060,000, 3), (300,000, 4) C) (1, 720,000), (2, 180,000), (3, 1,060,000), (4, 300,000) D) (300,000, 1), (1,060,000, 2), (180,000, 3), (720,000, 4) A) (1, 180,000), (2, 720,000), (3, 300,000), (4, 1,060,000) B) (720,000, 1), (180,000, 2), (1,060,000, 3), (300,000, 4) C) (1, 720,000), (2, 180,000), (3, 1,060,000), (4, 300,000) D) (300,000, 1), (1,060,000, 2), (180,000, 3), (720,000, 4)

Exam 3: Graphs and Functions

A video rental company charges $5 per day for renting a video tape, and then $4 per day after the first. Use the greatest integer function and write an expression for renting a video tape for x days.

(Multiple Choice)

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Question 21

Determine if the function is even, odd, or neither. - $f ( x ) = 0.25 x ^ { 2 } + | x | + 6$

(Multiple Choice)

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Question 22

Match the equation with the correct graph. - $8 x - 5 y = 10$

(Multiple Choice)

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Question 23

Find the average rate of change illustrated in the graph. -A school has just purchased new computer equipment for $23,000.00. The graph shows the depreciation of the equipment over 5 years. The point (0, 23,000) represents the purchase price and the point (5, 0) represents when The equipment will be replaced. Find and interpret the average rate of change in cost per year.

(Multiple Choice)

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Question 24

The figure below shows the graph of a functio $y = f ( x )$ e this graph to - $\text { Sketch the graph of } y = - f ( x ) \text {. }$ $The figure below shows the graph of a functio y = f ( x ) e this graph to - \text { Sketch the graph of } y = - f ( x ) \text {. }$

(Multiple Choice)

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Question 25

Sketch a graph showing the distance (in miles) that a person is from home after x hours if that individual drives at 30 mph to a lake 60 miles away, stays at the lake 1.5 hours, and then returns home at a speed of 60 mph.

(Multiple Choice)

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Question 26

Decide whether the relation defines a function. -Annual New Telemarketing Companies Year Number 1995 75 1996 150 1997 225 1998 235 1999 375

(Multiple Choice)

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Question 27

Graph the equation by plotting points. - $y=|x|+3$

(Multiple Choice)

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Question 28

Write all linear equations in slope-intercept form. -A house was purchased for $83,000. After 6 years the value of the house was $101,000. Find a linear equation that models the value of the house after x years.

(Multiple Choice)

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Question 29

Find the requested value. - $f ( - 6 )$ for $f ( x ) = \left\{ \begin{array} { l l } 8 x + 1 , & \text { if } x < 6 \\ 6 x , & \text { if } 6 \leq x \leq 8 \\ 6 - 7 x , & \text { if } x > 8 \end{array} \right.$

(Multiple Choice)

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Question 30

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

(Multiple Choice)

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Question 31

List the ordered pairs from the table. -Sales at the University Bookstore Month \ Sales 1 \ 720,000 2 \ 180,000 3 \ 1,060,000 4 \ 300,000

(Multiple Choice)

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Question 32

Give the domain and range of the relation. - $y = 4 x + 4$

(Multiple Choice)

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Question 33

Determine whether $( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }$ - $f ( x ) = \sqrt [ 5 ] { x - 6 } , g ( x ) = x ^ { 5 } + 6$

(Multiple Choice)

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Question 34

Find the equation of a circle with center at $( - 6,2 )$ , passing through the point $( - 3,6 )$ . Write it in center-radius form.

(Multiple Choice)

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Question 35

Find the center and radius of the circle. - $5 x ^ { 2 } + 5 y ^ { 2 } + 20 x - 30 y - 60 = 0$

(Multiple Choice)

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Question 36

Find the slope and the y-intercept of the line. - $y = - 2 x + 3$

(Multiple Choice)

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Question 37

Assume it costs 25 cents to mail a letter weighing one ounce or less, and then 20 cents for each additional ounce or fraction of an ounce. Let $L ( x )$ be the cost of mailing a letter weighing $x$ ounces. Graph $y = L ( x )$ . $Assume it costs 25 cents to mail a letter weighing one ounce or less, and then 20 cents for each additional ounce or fraction of an ounce. Let L ( x ) be the cost of mailing a letter weighing x ounces. Graph y = L ( x ) .$

(Multiple Choice)

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Question 38

Find all values of $y$ such that the distance between $( 2 , y )$ and $( - 10,3 )$ is 13 .

(Multiple Choice)

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Question 39

Describe the transformations and give the equation for the graph. -Find $( f + g ) ( - 3 )$ when $f ( x ) = x + 2$ and $g ( x ) = x + 4$ .

(Multiple Choice)

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Question 40

A video rental company charges $5 per day for renting a video tape, and then $4 per day after the first. Use the greatest integer function and write an expression for renting a video tape for x days.

Determine if the function is even, odd, or neither. - $f ( x ) = 0.25 x ^ { 2 } + | x | + 6$

Match the equation with the correct graph. - $8 x - 5 y = 10$

The figure below shows the graph of a functio $y = f ( x )$ e this graph to - $\text { Sketch the graph of } y = - f ( x ) \text {. }$ $The figure below shows the graph of a functio y = f ( x ) e this graph to - \text { Sketch the graph of } y = - f ( x ) \text {. }$

Sketch a graph showing the distance (in miles) that a person is from home after x hours if that individual drives at 30 mph to a lake 60 miles away, stays at the lake 1.5 hours, and then returns home at a speed of 60 mph.

Decide whether the relation defines a function. -Annual New Telemarketing Companies Year Number 1995 75 1996 150 1997 225 1998 235 1999 375

Graph the equation by plotting points. - $y=|x|+3$

Write all linear equations in slope-intercept form. -A house was purchased for $83,000. After 6 years the value of the house was $101,000. Find a linear equation that models the value of the house after x years.

Find the requested value. - $f ( - 6 )$ for $f ( x ) = \left\{ \begin{array} { l l } 8 x + 1 , & \text { if } x < 6 \\ 6 x , & \text { if } 6 \leq x \leq 8 \\ 6 - 7 x , & \text { if } x > 8 \end{array} \right.$

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

List the ordered pairs from the table. -Sales at the University Bookstore Month \ Sales 1 \ 720,000 2 \ 180,000 3 \ 1,060,000 4 \ 300,000

Give the domain and range of the relation. - $y = 4 x + 4$

Determine whether $( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }$ - $f ( x ) = \sqrt [ 5 ] { x - 6 } , g ( x ) = x ^ { 5 } + 6$

Find the equation of a circle with center at $( - 6,2 )$ , passing through the point $( - 3,6 )$ . Write it in center-radius form.

Find the center and radius of the circle. - $5 x ^ { 2 } + 5 y ^ { 2 } + 20 x - 30 y - 60 = 0$

Find the slope and the y-intercept of the line. - $y = - 2 x + 3$

Find all values of $y$ such that the distance between $( 2 , y )$ and $( - 10,3 )$ is 13 .

Describe the transformations and give the equation for the graph. -Find $( f + g ) ( - 3 )$ when $f ( x ) = x + 2$ and $g ( x ) = x + 4$ .

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Exam 3: Graphs and Functions

A video rental company charges $5 per day for renting a video tape, and then $4 per day after the first. Use the greatest integer function and write an expression for renting a video tape for x days.

Determine if the function is even, odd, or neither. - f(x)=0.25x2+∣x∣+6f ( x ) = 0.25 x ^ { 2 } + | x | + 6f(x)=0.25x2+∣x∣+6

Match the equation with the correct graph. - 8x−5y=108 x - 5 y = 108x−5y=10

The figure below shows the graph of a functio y=f(x)y = f ( x )y=f(x) e this graph to - Sketch the graph of y=−f(x). \text { Sketch the graph of } y = - f ( x ) \text {. } Sketch the graph of y=−f(x).

Sketch a graph showing the distance (in miles) that a person is from home after x hours if that individual drives at 30 mph to a lake 60 miles away, stays at the lake 1.5 hours, and then returns home at a speed of 60 mph.

Decide whether the relation defines a function. -Annual New Telemarketing Companies Year Number 1995 75 1996 150 1997 225 1998 235 1999 375

Graph the equation by plotting points. - y=∣x∣+3y=|x|+3y=∣x∣+3

Write all linear equations in slope-intercept form. -A house was purchased for $83,000. After 6 years the value of the house was $101,000. Find a linear equation that models the value of the house after x years.

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

List the ordered pairs from the table. -Sales at the University Bookstore Month \ Sales 1 \ 720,000 2 \ 180,000 3 \ 1,060,000 4 \ 300,000

Give the domain and range of the relation. - y=4x+4y = 4 x + 4y=4x+4

Determine whether (f∘g)(x)=x and whether (g∘f)(x)=x. ( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }(f∘g)(x)=x and whether (g∘f)(x)=x. - f(x)=x−65,g(x)=x5+6f ( x ) = \sqrt [ 5 ] { x - 6 } , g ( x ) = x ^ { 5 } + 6f(x)=5x−6​,g(x)=x5+6

Find the equation of a circle with center at (−6,2)( - 6,2 )(−6,2) , passing through the point (−3,6)( - 3,6 )(−3,6) . Write it in center-radius form.

Find the center and radius of the circle. - 5x2+5y2+20x−30y−60=05 x ^ { 2 } + 5 y ^ { 2 } + 20 x - 30 y - 60 = 05x2+5y2+20x−30y−60=0

Find the slope and the y-intercept of the line. - y=−2x+3y = - 2 x + 3y=−2x+3

Assume it costs 25 cents to mail a letter weighing one ounce or less, and then 20 cents for each additional ounce or fraction of an ounce. Let L(x)L ( x )L(x) be the cost of mailing a letter weighing xxx ounces. Graph y=L(x)y = L ( x )y=L(x) .

Find all values of yyy such that the distance between (2,y)( 2 , y )(2,y) and (−10,3)( - 10,3 )(−10,3) is 13 .

Describe the transformations and give the equation for the graph. -Find (f+g)(−3)( f + g ) ( - 3 )(f+g)(−3) when f(x)=x+2f ( x ) = x + 2f(x)=x+2 and g(x)=x+4g ( x ) = x + 4g(x)=x+4 .

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Determine if the function is even, odd, or neither. - $f ( x ) = 0.25 x ^ { 2 } + | x | + 6$

Match the equation with the correct graph. - $8 x - 5 y = 10$

The figure below shows the graph of a functio $y = f ( x )$ e this graph to - $\text { Sketch the graph of } y = - f ( x ) \text {. }$ $The figure below shows the graph of a functio y = f ( x ) e this graph to - \text { Sketch the graph of } y = - f ( x ) \text {. }$

Graph the equation by plotting points. - $y=|x|+3$

Give the domain and range of the relation. - $y = 4 x + 4$

Determine whether $( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }$ - $f ( x ) = \sqrt [ 5 ] { x - 6 } , g ( x ) = x ^ { 5 } + 6$

Find the equation of a circle with center at $( - 6,2 )$ , passing through the point $( - 3,6 )$ . Write it in center-radius form.

Find the center and radius of the circle. - $5 x ^ { 2 } + 5 y ^ { 2 } + 20 x - 30 y - 60 = 0$

Find the slope and the y-intercept of the line. - $y = - 2 x + 3$

Find all values of $y$ such that the distance between $( 2 , y )$ and $( - 10,3 )$ is 13 .

Describe the transformations and give the equation for the graph. -Find $( f + g ) ( - 3 )$ when $f ( x ) = x + 2$ and $g ( x ) = x + 4$ .