the graph of f(x) = ∛x look like the graph of f(x) = x³ turned on its side. true false
the graph of f(x) = ∛x look like the graph of f(x) = x³ turned on its side. true false
Answer
Explanation:
Step1: Recall inverse - function relationship
The function $y = \sqrt[3]{x}$ is the inverse of $y=x^{3}$. The graph of a function $y = f(x)$ and its inverse $y = f^{-1}(x)$ are symmetric about the line $y = x$. Geometrically, this is equivalent to turning the graph of the original function on its side.
Answer:
True