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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.
answer attempt 2 out of 3
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Step1: Identify points on original graph
First, pick 5+ points from the given curve:
$(-10, 2), (-5, 1), (0, 0), (5, -1), (8, -2)$
Step2: Swap x and y for inverse points
For any point $(x,y)$ on a function, its inverse has $(y,x)$:
$(-10, 2) \to (2, -10)$
$(-5, 1) \to (1, -5)$
$(0, 0) \to (0, 0)$
$(5, -1) \to (-1, 5)$
$(8, -2) \to (-2, 8)$
Step3: Plot and connect the points
Plot the new points and draw a smooth curve through them, reflecting over $y=x$.
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The inverse graph is formed by plotting the points $(2, -10)$, $(1, -5)$, $(0, 0)$, $(-1, 5)$, $(-2, 8)$ and drawing a smooth curve connecting them, which is the reflection of the original graph across the line $y=x$.