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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: Identify points on original line

First, pick 5 points on the given line:
$(0,1)$, $(1,3)$, $(2,5)$, $(-1,-1)$, $(-2,-3)$

Step2: Swap x and y for inverse points

For each point $(x,y)$ on the original function, the inverse function has the point $(y,x)$:
$(1,0)$, $(3,1)$, $(5,2)$, $(-1,-1)$, $(-3,-2)$

Step3: Plot inverse points and draw line

Plot these 5 points on the axes, then draw a straight line through them.

Answer:

The inverse graph is the line passing through points $(1,0)$, $(3,1)$, $(5,2)$, $(-1,-1)$, $(-3,-2)$, which is the line $y=\frac{1}{2}x-\frac{1}{2}$.