Question

question 1 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.
x = 3|y| - 4

Explanation:

Step1: Find inverse relation

To find the inverse of \(x = 3|y| - 4\), swap \(x\) and \(y\):
\(y = 3|x| - 4\)

Step2: Pick x=0, solve for y

Substitute \(x=0\) into inverse:
\(y = 3|0| - 4 = -4\)
Point: \((0, -4)\)

Step3: Pick x=1, solve for y

Substitute \(x=1\) into inverse:
\(y = 3|1| - 4 = 3 - 4 = -1\)
Point: \((1, -1)\)

Step4: Pick x=-1, solve for y

Substitute \(x=-1\) into inverse:
\(y = 3|-1| - 4 = 3 - 4 = -1\)
Point: \((-1, -1)\)

Step5: Pick x=2, solve for y

Substitute \(x=2\) into inverse:
\(y = 3|2| - 4 = 6 - 4 = 2\)
Point: \((2, 2)\)

Answer:

\((0, -4), (1, -1), (-1, -1), (2, 2)\)