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]

Question

Mathematics

Jimena

24 April, 21:34

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]

+4

Answers (1)

Know the Answer?

Eileen · Answer 1

Let f (x) be the given function.

Answer is a and d, because f (-2) 0; and f (1) 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).

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]

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]