Question

Choose ALL that give an interval where the function is increasing.

A. (-infinity, -3)
B. (-3,-1)
C. (-1,2)
D. (2,4)
E. (4, infinity)

Answer 1

(-∞,-3), (-1,2), and (4,∞)

Answer 2

(-∞,-3), (-1,2), and (4,∞)

Explanation:

If f(x) is increasing on (a,b), then f(a)<f(b) on (a,b).

From the given graph, the graph is increasing on (-∞,-3), (-1,2), and (4,∞).

Think of it as the portion of the graph that slopes forward.

The correct options are A, C, an E