Question

Where are the zeroes of the parent cube root function?

Answer 1

The zeroes of the parent cube root function are x = 0.

Step-by-step explanation:

The zeroes (or x-intercepts) of the parent cube root function can be found by setting the function equal to zero and solving for x. The parent cube root function is written as y = ∛x, where ∛x represents the cube root of x.

For example, if we want to find the zeroes of the cube root function y = ∛x, we set y equal to zero:

0 = ∛x

0³ = (∛x)³

0 = x

Therefore, the zeroes of the parent cube root function are x = 0. This means that the graph of the cube root function intersects the x-axis at x = 0.