SOLUTION: (4 pts) For f (x) = x3 - 3x2 - 6, use the Intermediate Value Theorem to determine which interval must contain a zero of f. (no explanation required) A. Between 0 and 1 B. Bet

Algebra ->  Equations -> SOLUTION: (4 pts) For f (x) = x3 - 3x2 - 6, use the Intermediate Value Theorem to determine which interval must contain a zero of f. (no explanation required) A. Between 0 and 1 B. Bet      Log On


   

Question 1135289: (4 pts) For f (x) = x3 - 3x2 - 6, use the Intermediate Value Theorem to determine which interval must contain a zero of f. (no explanation required)
A. Between 0 and 1
B. Between 1 and 2
C. Between 2 and 3
D. Between 3 and 4
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The function is a polynomial, so its graph is continuous and differentiable everywhere.

f(0) = -6
f(1) = -8
f(2) = -10
f(3) = -6
f(4) = 10

f(3) is negative; f(4) is positive --> there must be a zero between 3 and 4. Answer D