IXL - Linear and exponential functions over unit intervals (Precalculus practice)

How does

(

)

change over the interval from

(

)

decreases by 3

(

)

increases by a factor of 3

(

)

increases by 3

(

)

decreases by a factor of 3

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question

How does

(

)

change over the interval from

(

)

increases by a factor of 10

(

)

increases by 1,000%

(

)

increases by 10%

(

)

decreases by 10

solution

To see how a function changes over an interval, look at the endpoints.

The values of

(

)

at the endpoints

and

are:

(

)

(

)

In the values

and

the same base is raised to different exponents. So, to see how

(

)

changes from

you should find the ratio of these two values.

(

)

(

)

Divide by subtracting the exponents

–

Divide by subtracting the exponents

This means

(

)

(

)

So,

(

)

increases by a factor of 10 over the interval from

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Not feeling ready yet? These can help:

R.5Division rule for exponents

Z.2Evaluate exponential functions

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