1 3 Twelve Basic Functions Copyright 2011 Pearson
1. 3 Twelve Basic Functions Copyright © 2011 Pearson, Inc.
What you’ll learn about n n n What Graphs can Tell Us Twelve Basic Functions Analyzing Functions Graphically … and why As you continue to study mathematics, you will find that the twelve basic functions presented here will come up again and again. By knowing their basic properties, you will recognize them when you see them. Copyright © 2011 Pearson, Inc. 2
The Identity Function Copyright © 2011 Pearson, Inc. 3
The Squaring Function Copyright © 2011 Pearson, Inc. 4
The Cubing Function Copyright © 2011 Pearson, Inc. 5
The Reciprocal Function Copyright © 2011 Pearson, Inc. 6
The Square Root Function Copyright © 2011 Pearson, Inc. 7
The Exponential Function Copyright © 2011 Pearson, Inc. 8
The Natural Logarithm Function Copyright © 2011 Pearson, Inc. 9
The Sine Function Copyright © 2011 Pearson, Inc. 10
The Cosine Function Copyright © 2011 Pearson, Inc. 11
The Absolute Value Function Copyright © 2011 Pearson, Inc. 12
The Greatest Integer Function Copyright © 2011 Pearson, Inc. 13
The Logistic Function Copyright © 2011 Pearson, Inc. 14
Example Looking for Domains One of the functions has domain the set of all reals except 0. Which function is it? Copyright © 2011 Pearson, Inc. 15
Solution One of the functions has domain the set of all reals except 0. Which function is it? Copyright © 2011 Pearson, Inc. 16
Example Analyzing a Function Graphically Copyright © 2011 Pearson, Inc. 17
Solution Copyright © 2011 Pearson, Inc. 18
Quick Review Copyright © 2011 Pearson, Inc. 19
Quick Review Solutions Copyright © 2011 Pearson, Inc. 20
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