Comparing Functions from Graph

Who has the greater rate of change?

• Smith has the greater rate of change with 5/4

• Harmon has the greater rate of change with 7/2

• Smith has the greater rate of change with 4/5

• They have the same rate of change.

Which runner had a head start?

• A

• B

• C

How long did it take this object to travel back to its reference/starting point?

• 20 s

• 30 s

• 60 s

• 100 s

What is happening at D?

• Stationary

• Accelerating

• Fast steady speed; moving away from the starting position

• Slower steady speed; moving away from the starting position

What is happening at C?

• Stationary

• Accelerating

• Fast steady speed; moving away from the starting position

• Slower steady speed; moving away from the starting position

The table below shows some of the values for the linear function f.

Let g be the linear function defined by g(x) = 4x + 5.

Which statement is true?

• The graph of f has a greater slope than the graph of g.

• The graph of g has a greater slope than the graph of f.

• The graph of f has the same slope as the graph of g.

• The slopes of the graphs of f and g are undefined.

What is the approximate difference in the growth rates of the two functions?

• 0%

• 3%

• 5%

• 8%

Marion compared the y-intercept of the function, f(x), shown in the table, to the y-intercept of the function, g(x), on the graph.

What is the distance between the y-intercepts of f(x) and g(x)?

• 0 units

• 4 units

• 12 units

• 20 units

What is the distance between the y-intercepts of the two functions?

• 14

• 8

• 6

• 4

Allison compared the y-intercept of f(x)= 4 – 5x to the y-intercept of the function that fits the values in the table.

Which statement is true?

• The y-intercept of g(x) is half the y-intercept of f(x).

• The y-intercept of g(x) is two times the y-intercept of f(x).

• The y-intercept of g(x) is equal to the y-intercept of f(x).

• The y-intercept of g(x) is the negative value of the y-intercept of f(x).