Question

Use the images to answer the question.

Option #1

A coordinate plane shows an upward parabola.
▶Click for Long Desc

Option #2

A coordinate plane shows a concave up, decreasing curve.
▶Click for Long Desc

Option #3

A coordinate plane shows a s-shaped curve.
▶Click for Long Desc

Which option is the graph of a function which has a positive average rate of change on the interval [−12,0]
?

(1 point)
Option #
is the graph of the function which has a positive average rate of change on the interval [−12,0]
.

Answer 1

Option 3.

Reason: The average rate on [−12,0] is positive exactly when f(0) > f(−12). In Option 3 the graph is higher at x = 0 than at x = −12. Option 2 is decreasing on that interval (so f(0) < f(−12)), and Option 1 (an upward parabola) has a larger y-value at x = −12 than at x = 0, so both give negative average rates.