SOLUTION: For f (x) = x^4 – 3x^2 − 8, use the Intermediate Value Theorem to determine which interval must contain a zero of f. Please explain answer A. Between 0 and 1 B. Between

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: For f (x) = x^4 – 3x^2 − 8, use the Intermediate Value Theorem to determine which interval must contain a zero of f. Please explain answer A. Between 0 and 1 B. Between      Log On


   

Question 867499: For f (x) = x^4 – 3x^2 − 8, use the Intermediate Value Theorem to determine which interval must contain a zero of f. Please explain answer
A. Between 0 and 1
B. Between 1 and 2
C. Between 2 and 3
D. Between 3 and 4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%280%29=+%280%29%5E4-3%280%29%5E2-8=0-0-8=-8
f%281%29=%281%29%5E4-3%281%29%5E2-8=1-3-8=-10
f%282%29=%282%29%5E4-3%282%29%5E2-8=16-12-8=-4
f%283%29=%283%29%5E4-3%283%29%5E2-8=81-27-8=46
f%284%29=%284%29%5E4-3%284%29%5E2-8=256-48-8=200
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Since the sign of the function changes between x=2 and x=3, by the IVT, a zero is in the interval.