Question

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

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

Rate of change of the given function.

Given:

Step 1

State the formula for rate of change.

`Rate\text{ of change=}(f(b)-f(a))/(b-a)`

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.

`Rate\text{ of change=}(44-59)/(6-3)`
`=(-15)/(3)`
`=-5`

ANSWER

Rate of change = -5