MAT 111  College Algebra
Section 2.3: Analyzing Graphs of Functions
Objectives:
1. Learn what a graph of a function is and how to graph a function.
2. Find domain and range of a function graphically.
3. Learn what zeros of a function are and how to find them.
4. Learn what an increasing, decreasing and constant function is and be able to determine
the behavior of a function over an interval.
5. Learn what an even/odd function is.
6. Learn what a relative maximum/minimum of a function is and how to find it (them).
Objective 1:
The graph of a function
f
is the collection of ordered pairs (
x, f
(
x
)) where
x
is in
the domain of
f
.
Examples:
Use the graph of the function to find the indicated function values:
1.
(a)
f
(0)
(b)
f
(1)
(c)
f
(

1)
2.
(a)
g
(0)
(b)
g
(2)
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Objective 2:
To find the domain of a function graphically, slide a vertical line along the graph.
Every intersection point of the vertical line and the graph is a point in the domain.
To find the range of a function graphically, slide a horizontal line along the graph. Every
intersection point of the horizontal line and the graph is a point in the range.
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 Fall '10
 CarolineBoulis
 Algebra

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