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Writing an Exponential Function Given Two Points Calculus BC Mr. Gunther Name: Date: Refresher: Write a linear equation with slope 5 through the point (2,6)Write a linear equation through the point
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How to fill out writing an exponential function

01
Start by identifying the base of the exponential function. The base is the number that is being raised to a power.
02
Determine the exponent, which represents the power to which the base is raised.
03
Write the exponential function using the base and exponent. The general form of an exponential function is y = a * (b^x), where a is a constant and b is the base.
04
Substitute values for the base and exponent to evaluate the function. This will give you specific points on the exponential graph.
05
Plot the points on a coordinate plane to create the graph of the exponential function.

Who needs writing an exponential function?

01
Students studying algebra and precalculus
02
Scientists and researchers analyzing exponential growth or decay
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Engineers and economists modeling exponential processes
04
Mathematics enthusiasts exploring the properties of exponential functions

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Writing an exponential function involves representing a mathematical relationship where a quantity grows or decays at a constant percentage rate.
Anyone working with exponential growth or decay phenomena in the field of mathematics or science may need to write an exponential function.
To fill out an exponential function, one must typically determine the initial value, growth/decay factor, and time variable.
The purpose of writing an exponential function is to model and predict how a quantity changes over time based on a constant percentage growth or decay rate.
Information such as the initial value, growth/decay factor, domain, range, and any relevant constraints must be reported on writing an exponential function.
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