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

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

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 /2 2 1/4 3 1/8 1. Decreasing 2. Key point (0, 1) 3. D:  4. R: (0, ∞) 5. y = 0 y x

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

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

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

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

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

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

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