Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.

The average rate of change of f(x) from x = a to x = a + h is -1

Step-by-step explanation:

Average rate of the function f(x) over [a, b] is given by:

Given the function:

At x=a

f(a) = 3-a

At  x = a+h

then;

f(a+h) = 3-(a+h) = 3-a-h

Using the formula for average rate of function:

Substitute the given values we have;

Simplify:

or

Therefore, the average rate of change of f(x) from x = a to x = a + h is, -1

on usatestprep the answer is c.

Step-by-step explanation:

c. (3,2,6) is the answer.