Any value in the of a whose equals
is known as a zero
of the function. A function can have more than one zero or no zeros at all. Graphically, the zeros of a function are the
coordinates of the
Consider the following function as an example.
To find the zeros of a function, substitute the
for the output
in the and solve the resulting for
This example function has a zero at
This can be verified by evaluating the function at this value.
Since this is the only to the equation, it is also the only zero of the function. If a function does not intercept the
axis, there will be no solution for the resulting equation when the function rule is set equal to
In such a case, the function will have no zeros.