Question

Given f’(x), where is f(x) increasing? Where is f(x) concave up?

Answer 1

See explanation below

Explanation:

a. f(x) is increasing at (-∞, 1] and [7, ∞) because f'(x) is positive at those intervals.

b. f(x) is concave up at [4, ∞) because the slope of f'(x) or f''(x) is positive.