graph the inverse of the provided graph on the accompanying set of axes. you must plot at least 5…
graph the inverse of the provided graph on the accompanying set of axes. you must plot at least 5 points.\nclick the graph to make a point. click it again to erase.\nanswer\nattempt 1 out of 5
Answer
Explanation:
Step1: Identify points on original line
First, pick 5 points on the given black line:
- $(-10, 7)$
- $(-5, 4)$
- $(0, 1)$
- $(5, -2)$
- $(10, -5)$
Step2: Swap x and y for inverse points
For a point $(x,y)$ on a function, its inverse is $(y,x)$:
- $(7, -10)$
- $(4, -5)$
- $(1, 0)$
- $(-2, 5)$
- $(-5, 10)$
Step3: Plot inverse points & draw line
Plot the swapped points, then draw a straight line through them (this line is symmetric to the original across $y=x$, the dashed pink line).
Answer:
The inverse graph is the line passing through the points $(7, -10)$, $(4, -5)$, $(1, 0)$, $(-2, 5)$, and $(-5, 10)$, forming a straight line symmetric to the original graph across the line $y=x$.