Question

Answer Asap!

Match each interval with its corresponding average rate of change for q(x) = (x + 3)2.

1. -6 ≤ x ≤ 0
1
2. -3 ≤ x ≤ -2
-4
3. -6 ≤ x ≤ -3
-1
4. -6 ≤ x ≤ -4
0
5. -4 ≤ x ≤ -3
3
6. -3 ≤ x ≤ 0
-3

Answer 1

Between 1 and 2, the graph goes over 4 and down 1, so the slope is -1/4

Between 0 and 1, the graph goes over 4 and down 2, so the slope is -2/4 = -1/2

We can see a trend here. For each unit interval farther to the left, the slope doubles. So, we have ...

1 ≤ x ≤ 2 : -0.25

0 ≤ x ≤ 1 : -0.5

Explanation: