MATH 1113 Precalculus 2.4 Supplemental notes
Objectives
• Graph the Functions in the Library of Functions
• Graph Piecewise-defined Functions
The following library of functions will be used throughout the text. Be able to recognize the shape of each
graph and associate that shape with the given function.
Linear Functions
The equation ______________ represents any nonvertical line with slope _____ and y-intercept ____.
All vertical lines are represented as _________ where k is some constant.
The Identity Function _____________
Constant Function ____________ If m = 1 and b = 0, then we have a diagonal line y = x
Horizontal lines appear as ________ since m = ____. or ___________
y
x
y
x
The Square Function _____________ The Cube Function _______________
y
x
y
x
The Square Root Fucntion _____________ The Reciprocal Function ___________
y
x
y
x
Domain:
Range:
x-intercept(s):
y-intercept(s):
Even or Odd?
Domain:
Range:
x-intercept(s):
y-intercept(s):
Even or Odd?
Domain:
Range:
x-intercept(s):
y-intercept(s):
Even or Odd?
Domain:
Range:
x-intercept(s):
y-intercept(s):
Even or Odd?
Domain:
Range:
x-intercept(s):
y-intercept(s):
Even or Odd?
Domain:
Range:
x-intercept(s):
y-intercept(s):
Even or Odd?
