Suppose you have the function $g(x)=x^3-5,$ and you need to find the zeros of that function. You have the following intervals over which to search for the zeros: $-1,-2$

$-2,-1$

$0,1$

$1,2.$ Which of the following statements is true while searching for the zeros using those intervals?

There are no other intervals of length $1$ to consider that may have zeros besides the ones provided above because the function value is negative for all values to the left of $1$ and positive for all values to the right of $5.$

There is not enough information to determine the existence of zeros for the function.

Each of those intervals will contain a zero except the interval $1,2$ because the functions stay with the same signs for those intervals.