Question

Which is a valid prediction about the continuous function

Answer 1

Answer:

Option C.

Step-by-step 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,

$f(x)$ 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.