Average Rate of Change

Front

What is the definition of a function?

Back

Every input has only ONE output.

Tags

CCSS.8.F.A.1

Front

Translate the coordinate pair (0,8) into function notation.

Back

f(0)=8.

Tags

CCSS.HSF.IF.A.2

Front

Calculate the average rate of change from 20 to 40 minutes.

Back

-2 gallons per minute.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Given the graph, find f(2). If f(2)=5, what does this represent?

Back

The value of the function at x=2 is 5.

Tags

CCSS.HSF.IF.A.2

Front

What is the formula for average rate of change?

Back

Average Rate of Change = \frac{f(b) - f(a)}{b - a}.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If f(0)=8, what does this indicate about the function at x=0?

Back

The function has a value of 8 when x is 0.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean if the average rate of change is negative?

Back

The function is decreasing over that interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Calculate the average rate of change from x=0 to x=1 if f(0)=0 and f(1)=3.

Back

3.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the significance of the x-value in a function?

Back

It represents the input value for which the function is evaluated.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does f(2)=4 indicate about the function?

Back

At x=2, the function has a value of 4.

Tags

CCSS.HSF.IF.A.2