Q:

Use the Intermediate Value Theorem to choose the intervals over which the function, x^4 - 2x^2 - 1, is guaranteed to have a zero. Select all that apply.a. [-2,-1]b. [-1,0]c. [0,1]d. [1,2]

Accepted Solution

A:

Let f(x) be the given function.
Answer is a and d, because f(-2)<0 and f(-1)>0; and f(1)<0 and f(2)>0, so there is a change of sign, signifying that between the limits there is a value of x where f(x) must be 0 (the curve crosses the x axis).