Question

What is the effect on the graph of f(x)=x3 when f(x) is replaced by f(−x) ?(1 point) Responses the range changing to only negative values of y the range changing to only negative values of y a reflection about the line y=x a reflection about the line y is equal to x a reflection about the y-axis a reflection about the y -axis the domain changing to only negative values of x the domain changing to only negative values of x

Answer 1

When you replace \( f(x) \) with \( f(-x) \) in the function \( f(x) = x^3 \), you are effectively reflecting the graph across the y-axis.

The new function \( f(-x) = (-x)^3 = -x^3 \) will have the same shape but will be mirrored over the y-axis.

Thus, the correct response is: **a reflection about the y-axis**.