7.5 - Graphing Square and Cube Root Functions

7.5 ­ Graphing Square and Cube Root Functions ­ partway 2012 ­ 1st hour.notebook
March 07, 2013
7.5 ­ GRAPHING SQUARE/CUBE ROOT FUNCTIONS
INVERSE REMINDER:
What is the inverse of?
So, how could we find out what its graph looks like?
What about the graph of ?
GRAPHS OF RADICAL FUNCTIONS:
Have the form:
If a < 0, graph is reflected over x­axis.
If |a| > 1, graph is vertically stretched.
If |a| < 1, graph is vertically compressed.
Graph is shiftedh units horizontally and
k units vertically. DOMAIN AND RANGE:
• Square root graphs have restricted domains and ranges
that correspond to their h and k shifts
• There are NO restrictions on Cube root graphs, so their domain and range are both __________. .
Mar 5­2:08 PM
7.5 ­ Graphing Square and Cube Root Functions ­ partway 2012 ­ 1st hour.notebook
March 07, 2013
EXAMPLES:
Describe the transformations of the following graph. Then, state the domain and range.
HOMEWORK: p.434 #27­30,36­39
­Describe transformations
­State Dom. and Range
.
Mar 5­2:31 PM