Question

Which of the following intervals contains a zero for the function f(x) = -x^3 - 3x^2 - 5 guaranteed by the Intermediate Value Theorem?

[-4, -3]
[-3, -1]
[-1, 1]
This function does not have a zero

Answer 1

sorry misread that

what you want to do is plug in values and see if they return a positive and negative, or a negative and positive

for example

let x = -4, see what the function returns, then let x = -3. see if the function returns a value of the opposite sign

Answer 2

so what would the answer be....please its my final :(

Answer 3

well x = -4 returns positive and x = -3 returns negative, so that works

[-4, -3]