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Draw the graph of f(x) = 6² +1 -1 %3D Directions: To create a graph with an asymptote, you need to cl 1. Click on the draw option below that looks lik 2. Click on tho un

Draw the graph of f(x) = 6² +1 -1 %3D Directions: To create a graph with an asymptote, you need to cl 1. Click on the draw option below that looks lik 2. Click on tho un

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Drawing Exponential Functions with Asymptotes** ### Instructions for Graphing \( f(x) = 6^{x^2 + 1} - 1 \) To create a graph with an asymptote, follow these step-by-step directions: 1. **Select the Draw Option:** - Click on the "draw" option that best represents the type of graph you aim to create. 2. **Set the Asymptote:** - Click on the graphing grid to define the asymptote value. This will be shown as a dotted line on the graph. 3. **Identify a Known Point:** - Click on one known point on the graph. For accuracy, use whole number values whenever possible. 4. **Identify a Second Known Point:** - Click on a second known point on the graph. Again, prefer whole number values to ensure precision. ### Graph Explanation - **Graph Grid:** The graph grid displayed is a standard Cartesian plane with horizontal and vertical axes. The x-axis ranges from -10 to 10, and the y-axis ranges from -1 to 10. Each axis is marked with integer values for easy reference, facilitating precise plotting of points and the asymptote line. Remember to input values carefully to ensure that the graph accurately represents the function \( f(x) = 6^{x^2 + 1} - 1 \), emphasizing the significance of the function's asymptotic behavior.
Transcribed Image Text:**Drawing Exponential Functions with Asymptotes** ### Instructions for Graphing \( f(x) = 6^{x^2 + 1} - 1 \) To create a graph with an asymptote, follow these step-by-step directions: 1. **Select the Draw Option:** - Click on the "draw" option that best represents the type of graph you aim to create. 2. **Set the Asymptote:** - Click on the graphing grid to define the asymptote value. This will be shown as a dotted line on the graph. 3. **Identify a Known Point:** - Click on one known point on the graph. For accuracy, use whole number values whenever possible. 4. **Identify a Second Known Point:** - Click on a second known point on the graph. Again, prefer whole number values to ensure precision. ### Graph Explanation - **Graph Grid:** The graph grid displayed is a standard Cartesian plane with horizontal and vertical axes. The x-axis ranges from -10 to 10, and the y-axis ranges from -1 to 10. Each axis is marked with integer values for easy reference, facilitating precise plotting of points and the asymptote line. Remember to input values carefully to ensure that the graph accurately represents the function \( f(x) = 6^{x^2 + 1} - 1 \), emphasizing the significance of the function's asymptotic behavior.
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