## Pre-calculus Semester One Troublesome Topics

Prerequisite Skills Solving for x with absolute values Get rid of the absolute value signs by setting everything within absolute value to the opposite keeping the original equation Solve per usual Simplifying with square roots in the denominator Multiply the top and bottom by the square root on the bottom The square root number is no longer a square root and becomes the ?normal? form Reduce square roots to simplest form Solve per usual Chapter One Skills Finding the formula for f^-1(x) Switch the x and y values and solve per usual Altering graphs If f(x) is a function? f(x)-1 graph is shifted down one unit f(x)+1 graph is shifted up one unit f(x-1) graph is shifted right one unit f(x+1) graph is shifted left one unit