Question

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

Answer 1

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.