This week in Precalc 11 I learned about absolute value functions. Essentially, they start the same as a normal function, however, they cannot have a negative at all.

To start, this means that all negative intercepts are going to be flipped up to be positive, so -7 becomes 7.

Then comes the important part, as the line or parabola will likely hit the x-axis. If this is the case, the line or parabola will have a bounce point, causing it to start heading upwards again. This bounce point can also be found as the x-intercept. It’s always important to keep in mind, as under no circumstances will an absolute value function have negative values.

Additionally, after the bounce point the line or parabola continues normally, simply in the other direction.