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