Question

The function

�
=
�
(
�
)
y=f(x) is graphed below. What is the average rate of change of the function
�
(
�
)
f(x) on the interval
−
6
≤
�
≤
5
−6≤x≤5?

Answer 1

-10/11

Explanation:

You want the average rate of change of f(x) on the interval [-6, 5].

Average rate of change

The average rate of change of function f(x) on the interval [a, b] is ...

AROC = (f(b) -f(a))/(b -a)

= (f(5) -f(-6))/(5 -(-6))

= (-20 -(-10))/5 +6 = (-20 +10)/(5 +6)

AROC = -10/11

The average rate of change on the interval is -10/11.