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what does an exponential decay function look like. Any graph that looks like the above big on the left and crawling along the x -axis on the right displays exponential decay rather than exponential growth. Four variables percent change time the amount at the beginning of the time period and the amount at the end of the time period play roles in exponential functions.
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Use an exponential decay function to find the amount at the beginning of the time period. In addition to shifting compressing and stretching a graph we can also reflect it about the x-axis or the y-axisWhen we multiply the parent function latexfleftxrightbxlatex by 1 we get a reflection about the x-axisWhen we multiply the input by 1 we get a reflection about the y-axisFor example if we begin by graphing the parent function latex. But never actually touches the x-axis.
The figure above is an example of exponential decay.
Y 05 2 x. In an exponential function a is multiplied by b x times to create y. Observe how the output values in the table below change as the input increases by 1. Property 1 Rate of decay of exponential decay decreases becoming less and less as the graph approaches the x-axis.
