Question

question 7 of 10, step 1 of 1 consider the following relation. find four points contained in the inverse. express your values as an integer or simplified fraction. y = 3|x| - 4

Explanation:

Step1: Find 4 points on original relation

Choose $x=-2, -1, 0, 1$:

• $x=-2$: $y=3|-2|-4=6-4=2$ → $(-2,2)$
• $x=-1$: $y=3|-1|-4=3-4=-1$ → $(-1,-1)$
• $x=0$: $y=3|0|-4=0-4=-4$ → $(0,-4)$
• $x=1$: $y=3|1|-4=3-4=-1$ → $(1,-1)$

Step2: Swap x,y for inverse points

Inverse of $(a,b)$ is $(b,a)$:

• $(-2,2)$ → $(2,-2)$
• $(-1,-1)$ → $(-1,-1)$
• $(0,-4)$ → $(-4,0)$
• $(1,-1)$ → $(-1,1)$

Answer:

$\{(2,-2), (-1,-1), (-4,0), (-1,1)\}$