SOLUTION: Can intermediate value theorem be used to determine whether the function f(x)=∣x∣−1 has a zero between x=−3 and x=3 ? Explain.

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Question 317260: Can intermediate value theorem be used to determine whether the function
f(x)=∣x∣−1 has a zero between x=−3 and x=3 ? Explain.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No.
f%283%29=2
f%28-3%29=2
.
.
All you can say is that on [-3,3] there is a value of x where f%28x%29=2.
But you already know that because f%283%29=f%28-3%29=2.
So the intermediate value theorem can't help here.