APFIVE Intermediate Value Theorem From Table
The table gives selected values for a continuous function $$f$$. Based on these values, which of the following statements must be true?
| $$x$$ | $$-5$$ | $$0$$ | $$2$$ |
|---|---|---|---|
| $$f(x)$$ | $$-9$$ | $$1$$ | $$5$$ |
A
There exists a value $$c$$, where $$-5 < c < 2$$, such that $$f(c) = 4$$.
B
$$f$$ has at most one zero.
C
There exists a value $$c$$, where $$-5 < c < 2$$, such that $$f'(c) = 2$$.
D
$$f$$ has a relative maximum at $$x = 2$$.
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