Question

The equation shown below represents function f. The graph shown below represents function g. Which of the following statements is true?

A. Over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. The y-intercept of function f is the same as the y-intercept of function g.
B. Over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. The y-intercept of function f is less than the y-intercept of function g.
C. Over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. The y-intercept of function f is greater than the y-intercept of function g.
D. Over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. The y-intercept of function f is greater than the y-intercept of function g.ñ

Answer 1

Option D

Explanation:

The graphs of both f and g can be seen in the picture below.

Over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. Both functions have the same slope (-2)

The y-intercept of function f is greater than the y-intercept of function g

y intercept of f = 5

y-intercept of g = 4