IXL - Average rate of change I (Precalculus practice)

Find the average rate of change of

(

)

over the interval

[

–

]

Write your answer as an integer, fraction, or decimal rounded to the nearest tenth. Simplify any fractions.

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Learn with an example

question

Find the average rate of change of

(

)

–

over the interval

[

]

Write your answer as an integer, fraction, or decimal rounded to the nearest tenth. Simplify any fractions.

key idea

The average rate of change of a function

(

)

over the interval

[

]

is:

(

)

–

(

)

–

It is the slope of the line that passes through

(

)

and

(

)

This line is called a secant

line.

When

(

)

is a linear function, the average rate of change is always equal to the slope.

solution

Since

(

)

–

is a linear function with slope

–

the average rate of change is

–

Here is another way to find the average rate of change.

Evaluate

(

)

–

at the end points of

[

]

(

)

–

(

)

–

(

)

–

(

)

–

Then, use the formula for the average rate of change over the interval

[

]

(

)

–

(

)

–

Looking for more? Try this:

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Not feeling ready yet? These can help:

M.15Rate of change: tables

M.16Rate of change: graphs

A.3Evaluate functions

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