Given:
Given that the table that shows the input and the output values for a cubic function.
We need to determine an approximate zero of the function.
Approximate zero of the function:
The zeros of the function are the x - intercepts that can be determined by equating f(x) = 0.
In other words, the zeros of the function is the value of x determined by equating f(x) = 0 in the function.
Let us determine the approximate zero of the function.
The approximate zero of the function can be determined by finding the value of f(x) that has a value which is almost equal to zero.
Thus, from the table, it is obvious that the value of f(x) that is approximately equal to zero is -0.5
Hence, the corresponding x - value is -1.
Therefore, the approximate zero of the function is -1.