Intermediate Value Theorem Application

Question

Let $$f$$ be a function continuous on the closed interval $$[1, 3]$$ such that $$f(1) = 10$$ and $$f(3) = 18$$. Which of the following statements must be true?

Accepted Answer

$$f(x) = 17$$ has at least one solution in the interval $$[1, 3]$$.

Answer

$$f$$ is increasing on the interval $$[1, 3]$$.

Answer

$$f'(x) = 8$$ has at least one solution in the interval $$(1, 3)$$.

Answer

$$10 \le f(2) \le 18$$

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	yeejayc	1	2	1m 21s	9
#2	ngawang.pdukpa2020	0	1	0m 00s	-10
#3	leelokkan2604	0	1	0m 00s	-10
#4	619234	0	1	0m 16s	-26
#5	bolekbaiakniet	0	1	0m 46s	-56

Intermediate Value Theorem Application

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