Question

use the graph of f to draw the graph of its inverse function.

choose the correct graph of the inverse function ( f^{-1} ) below. the graph of f is dashed in each of the choices.

\\( \bigcirc \\) a.
\\( \bigcirc \\) b.
\\( \bigcirc \\) c.
\\( \bigcirc \\) d.

Explanation:

Step1: Recall the property of inverse function graph

The graph of a function \(y = f(x)\) and its inverse \(y = f^{-1}(x)\) are symmetric about the line \(y=x\).

Step2: Analyze each option

• Option A: The graph is not symmetric about \(y = x\) with the original function (dashed).
• Option B: The graph is symmetric about \(y=x\) with the original function (dashed).
• Option C: The graph is not symmetric about \(y = x\) with the original function (dashed).
• Option D: The graph is not symmetric about \(y = x\) with the original function (dashed).

Answer:

B.