Question

question 2 of 10, step 1 of 2
consider the following relation.
( x = 5|y| - 5 )
step 1 of 2: find four points contained in the inverse. express your values as an integer or simplified fraction.
answer

Explanation:

Step1: Find inverse of the relation

To find the inverse, swap $x$ and $y$ in the original equation:
$$y = 5|x| - 5$$

Step2: Pick x-values, solve for y

Choose $x=-2$:
$y = 5|-2| - 5 = 5(2)-5=10-5=5$ → Point $(-2,5)$

Step3: Pick second x-value, solve

Choose $x=-1$:
$y = 5|-1| - 5 = 5(1)-5=5-5=0$ → Point $(-1,0)$

Step4: Pick third x-value, solve

Choose $x=0$:
$y = 5|0| - 5 = 0-5=-5$ → Point $(0,-5)$

Step5: Pick fourth x-value, solve

Choose $x=1$:
$y = 5|1| - 5 = 5(1)-5=0$ → Point $(1,0)$

Answer:

$\{(-2,5), (-1,0), (0,-5), (1,0)\}$