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Section 3.3 Graphs of Exponential Functions

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1 Section 3.3 Graphs of Exponential Functions

2 Use a window with -5 ≤ x ≤ 5 and 0 ≤ y ≤ 70
In your groups graph the following exponential functions on the same screen Use a window with -5 ≤ x ≤ 5 and 0 ≤ y ≤ 70 What do you notice about the graphs What are there y-intercepts? Are they decreasing or increasing? Are they concave up or concave down? What are their domains and ranges?

3 Let’s look at the following graphs
What is going on with these graphs? What can you say about their y-intercepts? What can you say about the rate they are increasing?

4 Consider the following table
How can we determine if this data can be represented by an exponential function? Test for a constant ratio How can we find a function for this situation? For what value of t does h(t) = 2000? In your groups work on problems 6, 15, and 21 t 9 12 15 18 21 h(t) 120 216 389 700 1260


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