Answer
True.
Work Step by Step
See sec.1-8, Intermediate Value Theorem.
If f is continuous on [a,b], N any number between f(a) and f(b), f(a) $\neq$ f(b).
Then, there exists a c in [a,b] such that f(c)=N.
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$\pi\approx 3.14,\qquad 3 < \pi < 4$
$f(-1) < \pi < f(1)$.
Apply the Intermediate Value Theorem with
$a=-1,\ b=1,\ N=\pi$.
The statement is true.
