Questions: Below is the entire graph of function f. Graph f^-1, the inverse of f.

Transcript text: Below is the entire graph of function $f$. Graph $f^{-1}$, the inverse of $f$.

Solution

Solution Steps

Step 1: Identify two points on the graph of f(x)

The graph of f(x) appears to pass through the points (-5, -1) and (-1, 2).

Step 2: Find the inverse points

To find the corresponding points on the graph of $f^{-1}(x)$, we switch the x and y coordinates of the points on f(x). The inverse points are (-1, -5) and (2, -1).

Step 3: Plot the inverse points and draw the line

Plot the points (-1, -5) and (2, -1) on the coordinate plane. Draw a line passing through these two points. This line represents the graph of $f^{-1}(x)$.

Final Answer

The graph of the inverse function $f^{-1}(x)$ is the line passing through the points (-1, -5) and (2, -1). You can sketch it on the same graph as f(x) by drawing a line through these two points.

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