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Start-Up Day 3
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Objective: Students will be able to identify the graphs of the twelve basic functions and investigate the domain, continuity, symmetry and asymptotes of each.
Essential Question: What are the parent graphs and general characteristics of the 12 basic functions?
Home Learning: p. 106 #1-12, 34, 35, 41 & 45
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1.3Twelve Basic Functions
Demana, Waits, Foley, Kennedy
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What you’ll learn about
What Graphs can Tell Us Twelve Basic Functions Analyzing Functions Graphically
… and whyAs 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.
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The Identity Function
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The Squaring Function
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The Cubing Function
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The Reciprocal Function
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The Square Root Function
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The Exponential Function
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The Natural Logarithm Function
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The Sine Function
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The Cosine Function
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The Absolute Value Function
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The Greatest Integer Function
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The Logistic Function
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Example: Looking for Domains
One of the functions has domain the set of all reals except 0.
Which function is it?
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Solution
One of the functions has domain the set of all reals except 0.Which function is it?
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Example: Analyzing a Function Graphically
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Solution
