-6 ≤ x ≤ -4-

Question

Match each interval with its corresponding average rate of change for q(x) = (x + 3)2. 1. -6 ≤ x ≤ -4 3 2. -3 ≤ x ≤ 0 0 3. -6 ≤ x ≤ -3 -3 4. -3 ≤ x ≤ -2 -4 5. -4 ≤ x ≤ -3 -1 6. -6 ≤ x ≤ 0 1

Comments

This question is confusing. I understand that q(x)=(x+3)2 means q(x)=(x+3)², but what does the interval -6 ≤ x ≤ -4 3 mean in question (1)? The extra 3 seems to have no meaningful place. The same query applies to questions (2)-(6).

Answer 1

To find the average rate of change between a and b, we need to calculate q(a) and q(b) and make the following calculation: rate of change=(q(a)-q(b))/(a-b). The given intervals look confusing because of an extra digit in the rightmost endpoint. This digit has no meaningful place. Please clarify.