Make a table from -2 to 2 and then make a sketch of each exponential growth function. F(x) = -4(2)* f(x) = ₂(5)*

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The image features content related to exponential growth functions on a worksheet. Below is the transcribed and explained content suitable for an educational website:

---

**Exponential Growth Functions**

*Task:*

Create a table of values from x = -2 to x = 2, and then sketch the graph of each exponential growth function.

*Functions:*

1. \( f(x) = -4(2)^x \)
2. \( f(x) = \frac{1}{2}(5)^x \)

*Provided Graphs:*

The worksheet contains two blank coordinate grids. Each grid spans both negative and positive values, suitable for plotting the points derived from the given exponential functions over the specified range of x-values. The y-axis is labeled, but no points are plotted.

- **First Graph:**
  - Represents the function \( f(x) = -4(2)^x \).
  
- **Second Graph:**
  - Represents the function \( f(x) = \frac{1}{2}(5)^x \).

**Instructions for Completing the Task:**

1. Calculate the values of \( f(x) \) for each function using the respective equations for x-values ranging from -2 to 2.
2. Plot the calculated (x, y) pairs on the corresponding graph paper.
3. Connect the points smoothly to visualize the exponential growth trend for each function.

**Note:**

- The base edition of this material is from the year 2018.
  
This exercise helps in understanding how exponential functions behave under different coefficient conditions and base values. It demonstrates the concepts of growth and decay in exponential functions graphically.
Transcribed Image Text:The image features content related to exponential growth functions on a worksheet. Below is the transcribed and explained content suitable for an educational website: --- **Exponential Growth Functions** *Task:* Create a table of values from x = -2 to x = 2, and then sketch the graph of each exponential growth function. *Functions:* 1. \( f(x) = -4(2)^x \) 2. \( f(x) = \frac{1}{2}(5)^x \) *Provided Graphs:* The worksheet contains two blank coordinate grids. Each grid spans both negative and positive values, suitable for plotting the points derived from the given exponential functions over the specified range of x-values. The y-axis is labeled, but no points are plotted. - **First Graph:** - Represents the function \( f(x) = -4(2)^x \). - **Second Graph:** - Represents the function \( f(x) = \frac{1}{2}(5)^x \). **Instructions for Completing the Task:** 1. Calculate the values of \( f(x) \) for each function using the respective equations for x-values ranging from -2 to 2. 2. Plot the calculated (x, y) pairs on the corresponding graph paper. 3. Connect the points smoothly to visualize the exponential growth trend for each function. **Note:** - The base edition of this material is from the year 2018. This exercise helps in understanding how exponential functions behave under different coefficient conditions and base values. It demonstrates the concepts of growth and decay in exponential functions graphically.
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