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15.1 Graphing Exponential Functions OBJ:  To draw the graph of an exponential function  To read and interpret the graph of an exponential function.

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Presentation on theme: "15.1 Graphing Exponential Functions OBJ:  To draw the graph of an exponential function  To read and interpret the graph of an exponential function."— Presentation transcript:

1 15.1 Graphing Exponential Functions OBJ:  To draw the graph of an exponential function  To read and interpret the graph of an exponential function

2 P390 EX:  Graph y = 2 x x y -3 1/8 -2 1/4 1/2 0 1 1 2 2 4 3 8 1. Increasing 2. Key Point (0, 1) 3. D:  4. R: (0, ∞) 5. y = 0 y x 5 5 -5

3 Note: The graph of ex. 2 can be found by reflecting the graph in ex.1 in the y axis, since it is the graph of a function of -x P391 EX:  Graph y = (½) x x y -3 8 -2 4 2 0 1 1 1/2 2 1/4 3 1/8 1. Decreasing 2. Key point (0, 1) 3. D:  4. R: (0, ∞) 5. y = 0 y x 5 5 -5

4 Graph 2 basic shapes A) y = b x B) y = b -x y x 5 5 -5 y x 5 5

5 Graph y = 2 x – 3 1. Inc, A 2. 3 R; (3, 1) 3. D:  4. R: (0, ∞) 5. y = 0 y x 5 5 -5

6 Graph y = 2 x + 6 1. Inc, A 2. 6↑; (0, 7) 3. D:  4. R: (6, ∞) 5. y = 6 y x 5 5 -5

7 Graph y = ( 1/3 ) x + 4 1. Dec, B 2. 4↑; (0, 5) 3. D:  4. R: (4, ∞) 5. y = 4 y x 5 5 -5

8 Graph y = 4 x - 8 1. Inc, A 2. 8↓; (0, -7) 3. D:  4. R: (-8, ∞) 5. y = -8 y x 5 5 -5

9 Graph y = ( ½) x + 2 1. Dec, B 2. 2 L; (-2, 1) 3. D:  4. R: (0, ∞) 5. y = 0 y x 5 5 -5

10 Graph y = 2 x - 3 – 1 1. Inc, A 2. 3 R, 1↓; (3, 0) 3. D:  4. R: (-1, ∞) 5. y = -1 y x 5 5 -5

11 Graph y = e x - 2 + 5 1. Inc, A 2. 2 R, 5↑; (2, 6) 3. D:  4. R: (5, ∞) 5. y = 5 y x 5 5 -5


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