Name:
Date:
0.4 Notes on Functions
Vocabulary to Remember: You should have learned all of these vocabulary words. They are defined on
pages 36-40 in your textbook. Please read through your textbook if you do not remember these 
Function, domain, range, vertical line test, horizontal line test, one-to-one function, root, y-intercept,
positive/negative/zero, increasing/decreasing/constant, local maximum/minimum, global
maximum/minimum
New Vocabulary:
Concave up: graph curves upward on an interval.
Concave down: graph curves downward on an interval
Inflection point: graph changes concavity at a point.
Analyze the following functions by finding each of the following
Domain
Vertical Line Test
One to one function?
Roots
Local Max(es)
Global Max
Concave Up
Inflection point(s)
Range
Horizontal Line Test
y-intercept
Local Min(s)
Global Min
Concave Down
Domain
Vertical Line Test
One to one function?
Roots
Local Max(es)
Global Max
Concave Up
Inflection point(s)
Range
Horizontal Line Test
Domain
Vertical Line Test
One to one function?
Roots
Local Max(es)
Global Max
Concave Up
Inflection point(s)
Range
Horizontal Line Test
y-intercept
Local Min(s)
Global Min
Concave Down
y-intercept
Local Min(s)
Global Min
Concave Down
Domain
Vertical Line Test
One to one function?
Roots
Local Max(es)
Global Max
Concave Up
Inflection point(s)
Range
Horizontal Line Test
Domain
Vertical Line Test
One to one function?
Roots
Local Max(es)
Global Max
Concave Up
Inflection point(s)
Range
Horizontal Line Test
y-intercept
Local Min(s)
Global Min
Concave Down
y-intercept
Local Min(s)
Global Min
Concave Down
Domain
Vertical Line Test
One to one function?
Roots
Local Max(es)
Global Max
Concave Up
Inflection point(s)
Range
Horizontal Line Test
Domain
Vertical Line Test
One to one function?
Roots
Local Max(es)
Global Max
Concave Up
Inflection point(s)
Range
Horizontal Line Test
y-intercept
Local Min(s)
Global Min
Concave Down
y-intercept
Local Min(s)
Global Min
Concave Down