# week 12 – Precalc

This week in Precalc we continued with unit 8 Absolute value functions.

We started the week with Absolute value and reciprocal functions.  The parent function is (y=x) to base all other functions off from.  If we have an equation like $|3x+6|$ we can use this to find the critical point (the point where the line bounces up) or the x-intercept which will be (-2).  from there we can find other features like the y-intercept (0,6), the domain ( x is all real numbers) and the range ($y \textgreater (or equal to) 0$.

The next thing we learned was absolute value expressions.  By simplifying, factoring, solving etc. we can find the solutions to the equations which are the solutions.

Ex :

$3=|2x+5|$

$2x+2=0$

$2(x+1)=0$

$x=-1$

$-2x-8=)$

$-2(x+4)=0$

$x=-4$

solutions are -4 and -1.