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QUESTION IMAGE

graph the inverse of the provided graph on the accompanying set of axes…

Question

graph the inverse of the provided graph on the accompanying set of axes. you must plot at least 5 points. click the graph to make a point. click it again to erase.

Explanation:

Step1: Recall inverse - graph property

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

Step2: Select points on original graph

Let's assume some points on the original graph. For example, if we have a point $(x_1,y_1)$ on the original graph, the corresponding point on the inverse - graph will be $(y_1,x_1)$. Suppose we have points $(- 8,5)$, $(-4,3)$, $(-2,2)$, $(0,1)$, $(2,0)$ on the original graph.

Step3: Find inverse - points

For the point $(-8,5)$ on the original graph, the point on the inverse graph is $(5, - 8)$. For $(-4,3)$, the inverse - point is $(3,-4)$. For $(-2,2)$, the inverse - point is $(2,-2)$. For $(0,1)$, the inverse - point is $(1,0)$. For $(2,0)$, the inverse - point is $(0,2)$.

Step4: Plot the points

Plot the points $(5, - 8)$, $(3,-4)$, $(2,-2)$, $(1,0)$, $(0,2)$ on the given set of axes and draw the curve passing through these points to get the graph of the inverse function.

Answer:

Plot the points $(5, - 8)$, $(3,-4)$, $(2,-2)$, $(1,0)$, $(0,2)$ and draw the curve of the inverse function.