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Warm-up: Write the explicit and recursive rule for the sequence:
2, 6, 18, 54, … The first term of a geometric sequence is -3, and the common ratio is -2. What is the 9th term?
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Graphing and Characteristics of Exponentials
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Transformations
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Describe the transformation.
Up 2 Down 5 Left 1
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Describe the transformation.
Right 3 Reflect across the x-axis (flips) Up 2 and stretched by a scale factor of 3
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Domain and Range
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Domain ALL REAL NUMBERS
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Range Use k If a is positive then If a is negative then
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Identify the domain and range.
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y = k Asymptote A line that a graph approaches but will never touch
Horizontal, Dashed line
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Identify the asymptote of the graph of the function.
the x-axis
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X-Intercept: (#, 0) - Where the graph crosses the x-axis Y-Intercept: (0, #) - Where the graph crosses the Y-axis
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Read from left to right! Increasing: up from left to right Decreasing: down from left to right
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End Behavior { } Domain Range
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