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Graphing Exponential Growth and Decay
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This video introduces the idea of graphing exponential growth and decay functions when the equation for the function is given.
The function can be compared to its general form, f(x) = a*b^x, where a is the value of the function when x = 0 and b is the base of the function. If b is greater than 1, the function exhibits exponential growth. If b is less than one, the function shows exponential decay.
The simplest way to graph the function is to make a table and plug in various x values to see what the y values or function values would be. Start with x = 0, then move to x = 1, and so on. It may be useful to plot some points on the graph when x is negative as well.
Khan Academy exercise to practice:
The function can be compared to its general form, f(x) = a*b^x, where a is the value of the function when x = 0 and b is the base of the function. If b is greater than 1, the function exhibits exponential growth. If b is less than one, the function shows exponential decay.
The simplest way to graph the function is to make a table and plug in various x values to see what the y values or function values would be. Start with x = 0, then move to x = 1, and so on. It may be useful to plot some points on the graph when x is negative as well.
Khan Academy exercise to practice:
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