In this lesson on Exponential Functions Part 1, students will learn about the algebraic form of an exponential model and how to recognize its parameters, including the initial value and growth rate constant. They will also learn about the difference between absolute and relative rates and how to use them in exponential models. The lesson covers both discrete and continuous growth, and provides examples of how to calculate the growth factor and use it to evaluate exponential functions at different points. Students will also learn how to switch between the discrete and continuous forms of the exponential function.
Be familiar with and recognize the algebraic form for an exponential model, including the corresponding parameters and if those parameters have any meaning in the context of the functional relationship (e.g. does a parameter control the initial value, rate of change (shape), decreasing or increasing (flip), max/min, limiting values, etc.).
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