Question

Predict what will happen to the graph of the function f(x) = x3, if the variable,x, is multiplied by -1, resulting in1f(x)= (-333.A. The graph will be reflected across the y-axis.B. The graph will remain the same.C. The graph will be reflected across both the x-axis and y-axis.D. The graph will be reflected across the x-axis.

Answer 1

Step 1:

write both the functions

$\begin{gathered} y=x^{\frac{1}{3}} \\ y=(-x)^{\frac{1}{3}} \end{gathered}$

Step 2:

Final answer

The graph will be reflected across x-axis