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Exponential Functions

Explore the fascinating world of exponential functions with your graphing calculator. This resource guides you through graphing multiple exponential equations such as y = 2^x, y = 3^x, and y = 5^x while focusing on how changes in the base affect the graphs. Additionally, we examine exponential decay through functions like y = (1/2)^x and y = (1/3)^x. Learn to identify translations and key points of these functions, enhancing your understanding of exponential growth and decay.

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Exponential Functions

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  1. ExponentialFunctions

  2. With your Graphing Calculatorgraph each of the following y = 2x y = 3x y = 5x y = 1x Determine what is happening when the base is changing in each of these graphs.

  3. y = 3x y = 2x

  4. y = 3x y = 5x y = 2x y = 1x

  5. y = 3x y = 5x y = 2x y = 4x y = 10x y = (3/2)x Determine where each of the following would lie? y=10x y=4x y = (3/2)x y = 1x

  6. Exponential graphs with translations

  7. f(x) = 2x

  8. f(x) = 2x-3 x - 3 = 0 x = 3 (3, 1) 3 Jeff Bivin -- LZHS

  9. f(x) = 2x+2 - 3 x + 2 = 0 x = -2 3 2 (-2, -2) y = -3

  10. Exponential DECAY

  11. With your Graphing Calculatorgraph each of the following y = (1/2)x y = (1/3)x y = 1x Determine what is happening when the base is changing in each of these graphs.

  12. y = (1/3)x y = 5x y = 2x y = 3x y = (½)x y = 1x

  13. f(x) = (½)x-3 - 2 x - 3 = 0 x = 3 3 2 (3, -1) y = -2

  14. Recap…

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