Question

For what intervals is f(x) = 2x^4 – 4x^2 + 6 increasing?
A. The graph is increasing on the intervals (-1, 0) and (1, ∞).
B. The graph is increasing on the interval (1, ∞).
C. The graph is increasing on the interval (-1, 0).
D. The graph is increasing on the intervals ( -∞ , -1) and (0, 1).

Answer 1

@Mertsj can u help?

Answer 2

Did you take the first derivative?

Answer 3

i got 8x(x^2 - 1)

Answer 4

Set it equal to 0 and solve.

Answer 5

Iget x = +/- 1 and x = 0

Answer 6

Put those numbers on a number line.

Answer 7

okay

Answer 8

okay

Answer 9

You have 4 intervals. Pick a number from each interval and plug it into the first derivative. You are trying to find out whether the answer is positive or negative. You don't care what the number is...only its sign.