The graph of the derivative, f '(x) is shown below. On what interval is the graph of f (x) increasing?

Question

 

Question options:

1)	Increasing on (-∞, -4) U (2, ∞)
2)	Increasing on (-4, 2)
3)	Increasing on (-1, ∞)
4)	Increasing on (0, ∞ )

Answer 1

The answer is option 1: Increasing on (-∞, -4) U (2, ∞)



explanation:

when f‘(x) = 0, then f(x) has a critical value such as a min or max value

when f‘(x) > 0, then f(x) is increasing

when f‘(x) < 0, then f(x) is decreasing

Answer 2

Wherever f'(x) is a positive value, function f(x) is increasing. Option 1 would be the correct answer since f'(x) is positive for all those values of x.