Compare Functions - Kyrene School District

Compare Functions

Name: _______________________________________ Date: ___________

1. Compare Function (x) and g(x)

5. Compare function (x) and g(x)

(x) = 1/3x + 12.

(x) = 8x - 3.5.

A. Write the equation of g(x) represented in the table

A. Write the equation of the function shown in the graph

B. Compare the slopes of both functions C. Compare the y-intercepts of both functions

B. Compare the slopes of both functions

C. Compare the y-intercepts of both functions

2. Function 1 has the equation y = 2x + 8.5. Function 2 is a line passing through the points (0, 3) and (6, 0). A. Write the equation of the function passing through two points

B. Compare the slopes of both functions

C. Compare the y-intercepts of both functions

3. Compare the two functions f( x) = -17x + 5 and g( x) = -17x + 4 A. Compare the slopes of both functions

6. Which of the following situations can be modeled by the equation 6x - 12 = 3x ?

A. The cost of x movies at $6 each is $12 less than the cost of x movies at $3 each. B. The cost of x movies at $6 each is $12 more than the cost of x movies at $3 each. C. The cost of x ? 12 movies at $6 each equals the cost of x movies at $3 each. D. The cost of x + 12 movies at $6 each equals the cost of x movies at $3 each.

7. Lonnie and Tony get summer jobs. Lonnie makes $9.25 per hour and received a bonus of $12. The table shows how Tony was paid

B. Compare the y-intercepts of both functions

A. Write the equation of each person's earnings

C. Compare the x-intercepts of both functions

B. Who earns more money per hour?

4. Which statement about the graphs of f x = 5x - 10 and g x = 14x - 28 is true?

A. Functions f and g have the same x-intercept but different y-intercepts. B. Functions f and g have the same y-intercept but different x-intercepts. C. Functions f and g have the same x- and y-intercept but different slopes. D. Functions f and g have the same slope but different x- and y-intercepts.

8. The table shows how the value of a used computer is changing over time. Which equation describes the relationship between x, the time in months since purchase, and y, the value in dollars?

A. y = -20x + 1400 B. y = -20x + 1200 C. y = -20x + 1200 D. y = - 20x + 1400

Match equivalent functions.

Students work together in teams building boxcars and racing them. Each group had 4 team members, each was in charge of either writing an equation, making a table, making a graph, or describing their story.

Shelby's Story: Your car travels at a rate of 10 feet per minute. You start at the beginning of the track. Kate's Story: Your car travels at a rate of 10 feet per minute and you start at the 5-foot mark on the track. Claire's Story: Your car does not move but starts at the 7-foot mark on the track. Jenny's Story: Your car travels a half a foot per minute. You start a foot behind the starting line. Ally's Story: Your car travels a half of a foot per minute. You start at the five-foot mark.

Tables:

Equations: Sam y = 10x

Graphs:

Nic y = 10x + 5

Ryan

Skylar

Lucas

y = ? x + 5

y = ? x ? 1

y = 7

List the 4 students who worked together on each team by matching each function in all of its

equivalent representations.

TEAM 1

TEAM 2

TEAM 3

TEAM 4

TEAM 5

Story: Shelby

Kate

Claire

Jenny

Ally

Equation:

Graph:

Table:

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