Domain is always all real except: logarithms roots fractions with x on the bottom
Set the part equal to zero and solve for x
Domain splits the page right and left Symbols to use with domain 1. off the page right 2. off the page left 3. off the page both with a gap without a gap
Look at tables on calculator
Range(y) is all real with logs Symbols to use with range Off the page top Off the page bottom Off the page both with a gap without a gap
Range splits the screen top/bottom
Exponential functions a controls ____________ b controls ____________ b is called the growth factor If both a and b are greater than or equal to 1, then it is exponential growth.
Translation of graphs To move right or left, add or subtract a number to the domian (x), put both inside ( ) To move up or down, add or subtract a number to the range (y) or the end of the equation
To move graphs right or left, the variable h is used To move graphs up or down, the variable k is used
Formulas Growth by a fixed percent
Compound interest
Ex. 1