Question

The polynomial function F(x) = 2x^2 + 4has a critical point at which of the following x values? A. x=0 B. ×= 4 C. X=2 D. X= -2

Answer 1

The critical point of the function F(x) = 2x^2 + 4 is x = 0.

Explanation:

A. x=0

The critical point of a polynomial function is the value of x at which the function changes from increasing to decreasing or vice versa. To find the critical point of a polynomial function, we need to find the value of x that makes the first derivative of the function equal to zero.

The first derivative of F(x) = 2x^2 + 4 is F'(x) = 4x

Setting F'(x) = 0, we get:

4x = 0

x = 0

Therefore, the critical point of the function F(x) = 2x^2 + 4 is x = 0.