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Which is a valid prediction about the continuous function

f(x)?
f(x) < 0 over the interval (-00, 0).
f(x) > 0 over the interval (-1,00).
f(x) > 0 over the interval [-1, 1].
f(x) < 0 over the interval (0, 2).
pls hurry

Which is a valid prediction about the continuous function f(x)? f(x) < 0 over the-example-1
User Osmingo
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1 Answer

1 vote

Answer:

Option C.

Explanation:

Note: In option C interval should be (-1,1) instead of [-1,1].

From the given table it is clear that the value of f(x) is 0 at x=-1 and x=1.

The value of f(x) is negative over the interval
(\infty,-1)\text{ and }(1,\infty). So,


f(x)<0 over the interval
(\infty,-1)\text{ and }(1,\infty)

The value of f(x) is positive over the interval
(-1,1). So,


f(x)>0 over the interval
(-1,1)

Therefore, the correct option is C.

User Jodoox
by
7.7k points

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