Question Find four points on the inverse of the relation $y=-2|x|+2$, expressing the coordinates as integers or simplified fractions.

Studdy Solution
Now, we can find four points that are contained in the inverse. We can choose any four x-values and plug them into the equations to get the corresponding y-values.
Let's choose x = -1, 0, 1, 2.
For x = -1:
If x = -1 and y ≥ 0, then y = $\frac{-1-2}{2} = -\frac{3}{2}$.
If x = -1 and y < 0, then y = $\frac{2-(-1)}{2} = \frac{3}{2}$.
For x = 0:
If x = 0 and y ≥ 0, then y = $\frac{0-2}{2} = -1$.
If x = 0 and y < 0, then y = $\frac{2-0}{2} = 1$.
For x = 1:
If x = 1 and y ≥ 0, then y = $\frac{1-2}{2} = -\frac{1}{2}$.
If x = 1 and y < 0, then y = $\frac{2-1}{2} = \frac{1}{2}$.
For x = 2:
If x = 2 and y ≥ 0, then y = $\frac{2-2}{2} = 0$.
If x = 2 and y < 0, then y = $\frac{2-2}{2} = 0$.
So, the four points contained in the inverse are (-1, -3/2), (0, -1), (1, -1/2), and (2, 0).