Compare Rate of Change for Different Functions

• Function A

• Function B

• Neither. They have the same rate of change.

• There is not enough information to answer this question.

How would you describe the rate of change of these functions?

• Both functions have constant rate of change because they are exponential.

• Both functions have a variable rate of change because they are both exponential.

• A has a constant rate of change because it is linear and B has a variable rate of change because it's exponential

• A has a constant rate of change because it is quadratic and B has a variable rate of change because it's exponential

Which kitten grows fastest? What is it's rate of change?

• Kitten A with a rate of change of 3

• Kitten B with a rate of change of 4

• Kitten A with a rate of change of 4

• Kitten B with a rate of change of 3

Compare the initial values and the rates of change.

• The functions have different initial values and different rates of change.

• The rates of change are the same, but the initial values are different.

• The functions have the same initial value, but the rates of change differ.

• The y-intercepts are the same, but the rates of change differ.

Compare the two linear functions listed below and determine which has a greater slope.

• Function 1 because the slope is 3/2

• Function 2 because the slope is 1

• Function 1 because the slope is 2/3

• They are equal 

Who can type more words per minute?

• Braden

• Omar

• They both have the same rate of change

For each input/output pair below, determine whether it satisfies Function f, Function g, Both functions, or Neither function. Choose one option for each blank section. Input: 1 Output: 6

• Function f

• Function g

• Both functions

• Neither function

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

• g(x) rate of change is ALWAYS greater than f(x) rate of change.

• g(x) is NEVER greater than f(x) rate of change.

• g(x) will eventually exceed the rate of change of f(x).

• There is not enough information to compare the rate of change of f(x) to g(x).

The ratio of the change in y to the change of x represents ____.

(Select all that apply.)

• functions

• rate of change

• slope

• initial value

Compare the rates of change.

• The rate of change of item II is greater than the rate of change of item I.

• The rate of change of item I is greater than the rate of change of item II.

• Both items have the same rate of change.