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