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Name: ___Class: ___ AU6: Notes #3 Exponential Growth Date: ___WarmUp: Evaluate and graph the following exponential function over the given domain.#1.Determine the average rate of change over the domain for the function.Vocabulary:For exponential growth, as x increases, y increases exponentially.The concept of exponential growth and decay when applied to word problems, normally involve a quantity (some number) growing or decaying at a constant percentage over time
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How to fill out graphing exponential functions with

01
Identify the base of the exponential function.
02
Determine the equation of the function you want to graph, typically in the form y = a * b^x.
03
Create a table of values by choosing several x-values and calculating the corresponding y-values using the equation.
04
Plot the calculated points on a graph with appropriately labeled axes.
05
Draw a smooth curve through the plotted points to represent the exponential function.

Who needs graphing exponential functions with?

01
Students studying advanced mathematics or algebra.
02
Professionals working in fields that involve data analysis and modeling.
03
Researchers who need to analyze growth patterns, such as in finance, biology, or physics.

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Graphing exponential functions is typically done using a coordinate system where the x-axis represents the input values and the y-axis represents the output values of the exponential equation.
Individuals or entities that need to analyze data trends, such as students, researchers, and professionals in fields like finance or biology, often engage in graphing exponential functions.
To fill out graphing exponential functions, one must identify the base of the exponential function, choose a range of x-values, calculate the corresponding y-values, and then plot these points on a graph.
The purpose of graphing exponential functions is to visualize the growth or decay patterns in data, helping to analyze trends and make predictions based on the behavior of the exponential equation.
When graphing exponential functions, it's important to report the equation of the function, the range of x-values used, the corresponding y-values calculated, and any key points or intercepts identified on the graph.
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