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131688_PG_4445_.qxd32020012:16 PM Page 44LESSON8.3NAME ___ DATE ___Reteaching with Practice For use with pages 480485GOALUse the number e as the base of exponential functions VOCABULARY The natural
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How to fill out graphing an exponential function

01
Identify the exponential function in the form of y = a * b^x where 'a' is the initial value and 'b' is the base of the exponential function.
02
Choose a few values of x to plug into the function and calculate the corresponding values of y using the formula.
03
Plot the points on a graph with x-coordinate as the input values and y-coordinate as the output values.
04
Connect the points with a smooth curve to represent the exponential growth or decay of the function.
05
Label the axes with 'x' and 'y' and provide a title for the graph.

Who needs graphing an exponential function?

01
Students studying algebra or precalculus may need to graph exponential functions as part of their curriculum.
02
Scientists and researchers may need to graph exponential functions to analyze growth patterns in various fields such as biology, economics, and physics.
03
Engineers and mathematicians may also need to graph exponential functions to model real-world phenomena and make predictions based on the data.
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Graphing an exponential function involves plotting points on a graph to show the relationship between the exponential function's input and output values.
Typically students studying algebra or calculus are required to graph exponential functions.
To fill out a graph of an exponential function, one must choose several input values, calculate the corresponding output values, and plot the points on a graph.
The purpose of graphing an exponential function is to visually represent the growth or decay pattern of the function.
The information reported on a graph of an exponential function includes the input values, output values, and the shape of the graph.
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