SOLUTION: Help Please. do not understand question.....Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval. f(x) = 9x^4 - 10x^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Help Please. do not understand question.....Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval. f(x) = 9x^4 - 10x^3      Log On


   

Question 893236: Help Please. do not understand question.....Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.
f(x) = 9x^4 - 10x^3- 3x - 9; [-1, 0]
Answers given:
f(-1) = 13 and f(0) = -9; yes
f(-1) = -13 and f(0) = 9; yes
f(-1) = -13 and f(0) = -9; no
f(-1) = 13 and f(0) = 9; no

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the value of the function at the two endpoints.
f%28-1%29=9%28-1%29%5E4-10%28-1%29%5E3-3%28-1%29-9=9%2B10%2B3-9=13
f%280%29=9%280%29-10%280%29-3%280%29-9=-9
Since the value of the function was positive 13 and then became negative 9, somewhere between x=-1 and x=0, the function had the value of zero.