**Graph the Function:** The task is to graph the function \( y = 4^x \). **Graph Details:** - The graph is a coordinate plane with the x-axis ranging from -3 to 3 and the y-axis ranging from 0 to 16. - The y-axis has markings at intervals of 4 (e.g., 4, 8, 12, 16). - The x-axis has markings at intervals of 1. **Instructions for Interaction:** - There is an option to "Clear All" to erase any previous drawings or attempts on the graph. - The "Draw" feature allows for graphing the function. **Graph Analysis:** - An exponential function \( y = 4^x \) is expected to display exponential growth, rising steeply as x increases. - At \( x = 0 \), \( y = 1 \), as any number raised to the power of 0 is 1. - The graph should show a rapid increase in y-values for positive x and a decrease towards zero for negative x. The interactive components are designed to help visualize how changes in x affect y, demonstrating the nature of exponential growth with a base of 4.

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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I need to graph the function x=4^x

**Graph the Function:**

The task is to graph the function \( y = 4^x \).

**Graph Details:**

- The graph is a coordinate plane with the x-axis ranging from -3 to 3 and the y-axis ranging from 0 to 16.
- The y-axis has markings at intervals of 4 (e.g., 4, 8, 12, 16).
- The x-axis has markings at intervals of 1.

**Instructions for Interaction:**

- There is an option to "Clear All" to erase any previous drawings or attempts on the graph.
- The "Draw" feature allows for graphing the function.

**Graph Analysis:**

- An exponential function \( y = 4^x \) is expected to display exponential growth, rising steeply as x increases.
- At \( x = 0 \), \( y = 1 \), as any number raised to the power of 0 is 1.
- The graph should show a rapid increase in y-values for positive x and a decrease towards zero for negative x.

The interactive components are designed to help visualize how changes in x affect y, demonstrating the nature of exponential growth with a base of 4.
Transcribed Image Text:**Graph the Function:** The task is to graph the function \( y = 4^x \). **Graph Details:** - The graph is a coordinate plane with the x-axis ranging from -3 to 3 and the y-axis ranging from 0 to 16. - The y-axis has markings at intervals of 4 (e.g., 4, 8, 12, 16). - The x-axis has markings at intervals of 1. **Instructions for Interaction:** - There is an option to "Clear All" to erase any previous drawings or attempts on the graph. - The "Draw" feature allows for graphing the function. **Graph Analysis:** - An exponential function \( y = 4^x \) is expected to display exponential growth, rising steeply as x increases. - At \( x = 0 \), \( y = 1 \), as any number raised to the power of 0 is 1. - The graph should show a rapid increase in y-values for positive x and a decrease towards zero for negative x. The interactive components are designed to help visualize how changes in x affect y, demonstrating the nature of exponential growth with a base of 4.
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