Mid Unit 4 Review

What does "b" represent in y = mx + b

• vertical intercept (y-intercept)

• horizontal intercept (x-intercept)

• slope

• linear function

The change in the outputs divided by the change in the inputs is the ...

• Increasing function

• Average rate of change

• Decreasing function

• function

The corresponding lowest point on the graph is the ...

• Maximum

• independent variable

• Minimum

• decreasing function

The corresponding highest point on the graph is the ...

• Maximum

• independent variable

• Minimum

• decreasing function

True or false:

The horizontal intercept (or x-intercept) of a function ALWAYS occurs where y is equal to zero.

• True

• False

If its outputs get larger as the inputs get larger, then it is a(n) ...

• Decreasing function

• Dependent variable

• Maximum

• Increasing function

If its outputs get smaller as the inputs get larger, then it is a(n) ...

• Decreasing function

• Independent Variable

• Minimum

• Horizontal Intercept

Function  $Q$   gives a puppy’s weight in pounds as a function of its age in months.

What does $Q\left(30\right)\ =\ 27.5$ represent in this situation?

• When the puppy was 27.5 months old, it weighed 30 pounds.

• When the puppy was 30 months old, it weighed 27.5 pounds.

Function $Q$ gives a puppy's weight in pounds as a function of its age in months. 

Use function notation to represent this statement: 

When the puppy was  $a$  months old, it weighed  $w$  pounds.

•  $Q\left(a\right)\ =\ w$  

•  $Q\left(w\right)\ =\ a$  

The function  $P$   gives the percent of voters between 18 and 29 years old that participated in the election in year  $t$ . 

Determine the average rate of change for  $P$  between 1992 and 2000.

• 9.65

• 1.025

• -1.025

• -9.65

Answer explanation

Average rate of change between 1992 and 2000 =  $\frac{34.5\ -\ 42.7}{2000-1992}=-\frac{8.2}{8}=-1.025$