Average Rate of Change

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

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

Back

f(0)=8.

Front

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

Back

-2 gallons per minute.

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.

Front

What is the formula for average rate of change?

Back

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

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.

Front

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

Back

The function is decreasing over that interval.

Front

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

Back

3.

Front

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

Back

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

Front

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

Back

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