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Graph the exponential function g (x) = 4**2 To do this, plot two points on the graph of the function, and also draw the asymptote. Then click on the graph-a-function button. Additionally, give the domain and range of the function using interval notation.

Graph the exponential function g (x) = 4**2 To do this, plot two points on the graph of the function, and also draw the asymptote. Then click on the graph-a-function button. Additionally, give the domain and range of the function using interval notation.

Algebra and Trigonometry (6th Edition)
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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**Graph the Exponential Function \( g(x) = 4^x + 2 \)** --- To graph the exponential function \( g(x) = 4^x + 2 \): 1. Plot two points on the graph of the function. 2. Draw the asymptote. 3. Click on the graph-a-function button. Additionally, determine the domain and range of the function using interval notation. **Graph Explanation:** - The graph includes a grid with both x and y-axes where you will plot the function. - There are interactive buttons for graphing functionalities, such as plotting points and drawing lines. **Domain and Range:** - **Domain**: The domain of an exponential function \( g(x) = 4^x + 2 \) is all real numbers, represented as \( (-\infty, \infty) \). - **Range**: Since the function is shifted upwards by 2 units, the range is \( (2, \infty) \). Remember to sketch the horizontal asymptote, which lies at \( y = 2 \). --- **Interactive Buttons and Tools Description:** - **Pencil Icon**: Enables drawing on the graph. - **Dashed Line Icon**: Likely used for drawing asymptotes or other specific lines. - **Eraser Icon**: Used for removing any marked lines or points on the graph. **Submission Options:** - **I Don't Know**: Click if unsure about how to proceed. - **Submit**: Click to submit your completed graph and answers. For further exploration, consider solving additional problems using similar steps to understand variations in exponential function transformations.
Transcribed Image Text:**Graph the Exponential Function \( g(x) = 4^x + 2 \)** --- To graph the exponential function \( g(x) = 4^x + 2 \): 1. Plot two points on the graph of the function. 2. Draw the asymptote. 3. Click on the graph-a-function button. Additionally, determine the domain and range of the function using interval notation. **Graph Explanation:** - The graph includes a grid with both x and y-axes where you will plot the function. - There are interactive buttons for graphing functionalities, such as plotting points and drawing lines. **Domain and Range:** - **Domain**: The domain of an exponential function \( g(x) = 4^x + 2 \) is all real numbers, represented as \( (-\infty, \infty) \). - **Range**: Since the function is shifted upwards by 2 units, the range is \( (2, \infty) \). Remember to sketch the horizontal asymptote, which lies at \( y = 2 \). --- **Interactive Buttons and Tools Description:** - **Pencil Icon**: Enables drawing on the graph. - **Dashed Line Icon**: Likely used for drawing asymptotes or other specific lines. - **Eraser Icon**: Used for removing any marked lines or points on the graph. **Submission Options:** - **I Don't Know**: Click if unsure about how to proceed. - **Submit**: Click to submit your completed graph and answers. For further exploration, consider solving additional problems using similar steps to understand variations in exponential function transformations.
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