Question

8 multiple choice 1 point choose the function that has the exact same graph as: $f(x)=-sqrt3{x}$ $y=sqrt3{-x}$ $y = 2sqrt3{x}$ $y = x^3$ $y=sqrt3{x + 1}$ $y=\frac{1}{2}sqrt3{x}$

Explanation:

Step1: Analyze the original function

The given function is $f(x) = -\sqrt[3]{x}$. For odd roots, $\sqrt[3]{-a} = -\sqrt[3]{a}$ for all real $a$.

Step2: Rewrite the equivalent function

Using the odd root property, $-\sqrt[3]{x} = \sqrt[3]{-x}$.

Step3: Match with options

Compare the rewritten function to the provided choices to find the match.

Answer:

A. $y = \sqrt[3]{-x}$