Wells Coleman
06/12/2024 · Senior High School

\begin{tabular}{|l|}\hline \multicolumn{1}{|c|}{ 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. \\ Plug in the values of \( a \) and \( b \) into \( y=a b^{x} \) to write the exponential equation. \\ Identify the common ratio, \( b \), value. To do this, make a fraction of two consecutive outputs (as \\ long as the inputs are separated by exactly 1 ). \\ Identify the initial value. This is the \( a \) part of the exponential equation \( y=a b^{x} \). \\ Determine the Average Rate of Change by calculating \( \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \) to determine the growth or decay \\ rater the data into your calculator using Stat/Edit. Then run an Exponential Regression to \\ determine the base \( b \) and initial value \( a \). \end{tabular}

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

Based on the provided information about writing exponential functions, the following steps should be taken: 1. **Replace \( y \) with appropriate notation as needed to identify a requested exponential FUNCTION.** 2. **Plug in the values of \( a \) and \( b \) into \( y = a b^{x} \) to write the exponential equation.** 3. **Identify the common ratio, \( b \), value. To do this, make a fraction of two consecutive outputs (as long as the inputs are separated by exactly 1).** 4. **Identify the initial value. This is the \( a \) part of the exponential equation \( y = a b^{x} \).** 5. **Determine the Average Rate of Change by calculating \( \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \) to determine the growth or decay rate.** 6. **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 and should be checked as part of the process of writing exponential functions.

Quick Answer

The steps for writing exponential functions include replacing \( y \) with appropriate notation, plugging in \( a \) and \( b \) into \( y = a b^{x} \), identifying the common ratio \( b \), finding the initial value \( a \), calculating the Average Rate of Change, and using Exponential Regression to find \( a \) and \( b \).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions