Compare Functions (2)

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

(Select all that apply.)

• functions

• rate of change

• slope

• initial value

Tags

CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7

Linear functions can be written in the form:

 $y=mx+b$  
What is the rate of change?

• y

• m

• x

• b

Tags

CCSS.HSF.IF.B.6

CCSS.HSF.LE.B.5

CCSS.HSS.ID.C.7

Linear functions can be written in the form:

 $y=mx+b$  
What is the initial value?

• y

• m

• x

• b

Tags

CCSS.HSS.ID.C.7

Find the rate of change of the line that passes through points (0, 2) and (2, 6).

• $\frac{1}{2}$

• 2

• -2

• $-\frac{1}{2}$

Tags

CCSS.HSS.ID.C.7

Compare the rates of change.

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

• The rate of change of item I is equal to the rate of change of item II.

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

Tags

CCSS.HSS.ID.C.7

Compare the initial values of each function.

• The initial value of item I is greater than the initial value of item II.

• The initial value of item I is equal to the initial value of item II.

• The initial value of item II is greater than the initial value of item I.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.9

Determine if the following functions are increasing or decreasing.

• Both functions are decreasing.

• The function in item I is increasing, and the function in item II is decreasing.

• The function in item I is decreasing, and the function in item II is increasing.

• Both functions are increasing.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Compare the initial values and rate of change of both functions.

• Both functions have the same initial value and rate of change.

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

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

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.9

CCSS.HSS.ID.C.7

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.

Tags

CCSS.HSF.IF.B.4

CCSS.HSS.ID.C.7

Determine whether the following functions are increasing or decreasing.

• The function in item I is increasing, and the function in item II is decreasing.

• Both functions are increasing.

• The function in item I is decreasing, and the function in item II is increasing.

• Both functions are decreasing.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9