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Graphing Exponential Growth and Decay

Learn about exponential functions, growth factors, and decay factors. Explore different shapes of exponential graphs and how to plot them. Examples with step-by-step instructions provided.

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Graphing Exponential Growth and Decay

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  1. Graphing Exponential Growth and Decay

  2. An exponential function has the form b is a positive number other than 1. (fraction) If b is greater than 1 If b is between 0 and 1 b is the “decay factor” b is the “growth factor” Is called an exponentialdecayfunction. Is called an exponential growth function.

  3. Growth or decay?? decay growth a = _______ b = _______ a = _______ b = _______ growth decay a = _______ b = _______ a = _______ b = _______

  4. 4 Shapes of Exponential Graphs

  5. x 2 Graph y = x Graph y=b for b > 1 +0 1. Draw the asymptote Make a table of values. 2.

  6. x Graph y = ab for b > 1 1 Plot and (1, 2) draw a curve that “hugs” the x-axis, and moves up to the right. 0, 2 EXAMPLE 2 Just use 2 values in your table! Graph the function. 1. Draw the asymptote 2.

  7. x Graph y = ab for b > 1 x 5 y = – 2 5 Plot (0, –1) and . Draw a curve that begins just below the x-axis, and moves down to the right. 1,– 2 EXAMPLE 3 Just use 2 values in your table! Graph the function. Draw the asymptote

  8. x Graph y = ab for 0 < b < 1 x 1 Graphy = 2 4 3 Plot (0, 3) and . draw a curve that begins just above the x-axis and moves up to the left. 1, 2 EXAMPLE 4 Just use 2 values in your table! Graph the function. +1 Draw the asymptote

  9. x Graph y = ab for 0 < b < 1 x 2 Graphy = –3 5 1,–3.2 EXAMPLE 5 Just use 2 values in your table! -2 Draw the asymptote Plot (0, –5) and Draw a curve that begins just below the x-axis, and moves down to the left.

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