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Graphing Exponential Functions

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Presentation on theme: "Graphing Exponential Functions"— Presentation transcript:

1 Graphing Exponential Functions

2 Graph the Function x 1 2 3 4 y 8 16 x y x 1 2 3 4 y

3 The Domain All Real Numbers The Range { y│ y > 0 }

4 Continuous Intercepts ( 0, 1) Asymptotes x- axis

5 Graph the Function x -2 -1 1 2 3 y - 5 ̸ 3 7 25 75

6 The Domain All Real Numbers The Range { y│ y > -2 }

7 Continuous Intercepts ( 0, 1) y = -2 Asymptote

8 Vertical shift 1 unit downward Horizontal shift 4 units to the left
Transformations Vertical shift 1 unit downward Horizontal shift 4 units to the left Vertical stretch 2 units Reflection over x-axis The parent function

9 Graph the Function x -3 -2 -1 1 2 y 10 6 4 3 2.5 2.25 x -3 -2 -1 1 2 y

10 b > 1 0 < b < 1 Exponential growth Exponential decay


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