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Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 3≤x≤6

Given the function defined in the table below find the average rate of change in simplest form of the function over the interval 3x6 class=


Answer :

STEP - BY - STEP EXPLANATION

What to find?

Rate of change of the given function.

Given:

Step 1

State the formula for rate of change.

[tex]Rate\text{ of change=}\frac{f(b)-f(a)}{b-a}[/tex]

Step 2

Choose any two point within the given interval.

(3, 59) and (6, 44)

⇒a=3 f(a) =59

b= 6 f(b)=44

Step 3

Substitute the values into the formula and simplify.

[tex]Rate\text{ of change=}\frac{44-59}{6-3}[/tex][tex]=\frac{-15}{3}[/tex][tex]=-5[/tex]

ANSWER

Rate of change = -5

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