Warm-up: Write the explicit and recursive rule for the sequence:

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Presentation transcript:

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?

Graphing and Characteristics of Exponentials

Transformations

Describe the transformation. Up 2 Down 5 Left 1

Describe the transformation. Right 3 Reflect across the x-axis (flips) Up 2 and stretched by a scale factor of 3

Domain and Range

Domain ALL REAL NUMBERS

Range Use k If a is positive then If a is negative then

Identify the domain and range.

y = k Asymptote A line that a graph approaches but will never touch Horizontal, Dashed line

Identify the asymptote of the graph of the function. the x-axis

X-Intercept: (#, 0) - Where the graph crosses the x-axis Y-Intercept: (0, #) - Where the graph crosses the Y-axis

Read from left to right! Increasing: up from left to right Decreasing: down from left to right

End Behavior { } Domain Range