Answer
As given below
![](https://gradesaver.s3.amazonaws.com/uploads/solution/c07bd3ba-8056-4c06-901d-84fb62c9fa16/result_image/1593449348.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T013441Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=c83351102c419e6a25deead53b8843bbb27343d079e7c184df459a42b71c0236)
Work Step by Step
We are given: $y=|x|-7$
$x=−7: y=0 \rightarrow (−7,0)$
$x=−4: y=-3 \rightarrow (−4,3)$
$x=0: y=-7 \rightarrow (0,-7)$
$x=4: y=-3 \rightarrow (1,0)$
$x=7: y=0 \rightarrow (7,0)$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/c07bd3ba-8056-4c06-901d-84fb62c9fa16/steps_image/small_1593449348.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T013441Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=ccd22fd3ecf1740b99ec8358df1fd3f31f79626700faf40cdb5351beb43c4d49)
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