Black Mccarthy
06/15/2024 · Junior High School

\begin{tabular}{l} Introduction to Exponential Functions \\ \hline According to the Mini-Lesson, which of the following are steps that should be taking when Writing \\ Exponential Functions? Check all that apply. \\ Replace \( y \) with appropriate notation as needed to identify a requested exponential FUNCTION. \\ Determine the Average Rate of Change by calculating \( \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \) to determine the growth or decay \\ rate. \\ Identify the initial value. This is the \( a \) part of the exponential equation \( y=a b^{x} \). \\ Identify the common ratio, \( b \), value. To do this, make a fraction of two consecutive outputs (as \( a \) and \( b \) into \( y=a b^{x} \) to write the exponential equation. \\ long as the inputs are separated by exactly 1 ). \\ Enter the data into your calculator using Stat/Edit. Then run an Exponential Regression to \\ determine the base \( b \) and initial value \( a \). \end{tabular}

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To solve this study problem, you need to identify the steps that should be taken when writing exponential functions based on the Mini-Lesson provided. Here are the steps that are mentioned and should be checked: 1. Replace \( y \) with appropriate notation as needed to identify a requested exponential FUNCTION. 2. Determine the Average Rate of Change by calculating \( \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \) to determine the growth or decay rate. 3. Identify the initial value. This is the \( a \) part of the exponential equation \( y=a b^{x} \). 4. Identify the common ratio, \( b \), value. To do this, make a fraction of two consecutive outputs (as \( a \) and \( b \) into \( y=a b^{x} \) to write the exponential equation, long as the inputs are separated by exactly 1). 5. Enter the data into your calculator using Stat/Edit. Then run an Exponential Regression to determine the base \( b \) and initial value \( a \). All of these steps are relevant to writing exponential functions, so you should check all of them.

Quick Answer

The steps for writing exponential functions include: replacing \( y \) with appropriate notation, determining the Average Rate of Change, identifying the initial value, finding the common ratio, and using a calculator for Exponential Regression.
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