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QUESTION IMAGE

question graph the inverse of the provided graph on the accompanying se…

Question

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 $y=x$. To find points on the inverse graph, if $(a,b)$ is a point on the original graph, then $(b,a)$ is a point on the inverse graph.

Step2: Select points on original graph

Let's assume some points on the given graph. For example, if we have points on the original graph such as $(- 8,2)$, $(-4,1)$, $(0, - 2)$, $(4,-3)$, $(8,-4)$.

Step3: Find corresponding points for inverse

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

Step4: Plot the points

Plot the points $(2,-8)$, $(1,-4)$, $(-2,0)$, $(-3,4)$, $(-4,8)$ on the accompanying set of axes.

Answer:

Plot the points $(2,-8)$, $(1,-4)$, $(-2,0)$, $(-3,4)$, $(-4,8)$ on the given axes.