Intermediate Value Theorem From Table

Question

The table gives selected values for a continuous function $$f$$. Based on these values, which of the following statements must be true?

| $$x$$     | $$-5$$ | $$0$$ | $$2$$ |
|---------|------|-----|-----|
| $$f(x)$$  | $$-9$$ | $$1$$ | $$5$$ |

Accepted Answer

There exists a value $$c$$, where $$-5 < c < 2$$, such that $$f(c) = 4$$.

Answer

There exists a value $$c$$, where $$-5 < c < 2$$, such that $$f'(c) = 2$$.

Answer

$$f$$ has at most one zero.

Answer

$$f$$ has a relative maximum at $$x = 2$$.

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	triptigoyal02	2	2	0m 00s	200
#2	alexyu2008	1	1	0m 00s	100
#3	haneesh19.12	1	1	0m 00s	100
#4	omar.nurdaulet24	1	1	0m 15s	85
#5	yeejayc	1	1	0m 19s	81
#6	bolekbaiakniet	0	1	1m 59s	-129

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