Critical Point Question?

Question

Let f be the differentiable function with a domain of (0, 10). It is known that f' (x), the derivative of f (x), is negative on the intervals (0, 2) and (4, 6) and positive on the intervals (2, 4) and (6, 10). Which of the following statements is true?

a. f has no relative minima and three relative maxima.

b. f has one relative minimum and two relative maxima.

c. f has two relative minima and one relative maximum.

d. f has three relative minima and no relative maxima.

Answer 1

C. 2 relative or local minima at x=2 and 6

1 relative or local max at x =4