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...
Related questions
Question
How do I graph this with two points?
![**Title: Graphing Inequalities**
**Instructions:**
Graph the given inequality:
\[ x \geq -4 \]
**Step-by-step Guide:**
1. Use the horizontal number line to locate the point at \( x = -4 \).
2. Since the inequality is \( \geq \), use a closed dot at \( x = -4 \) to indicate that -4 is included in the solution.
3. Shade the line to the right of -4 to show that all numbers greater than -4 are included in the solution.
**Graphing Tool:**
- To create the graph, click on the "Graphing Tool" option.
- Click the button labeled "Click to enlarge graph" for a more detailed view.
- Use the tool to visually represent the inequality on a number line as described.
**Note:** The graphing tool provides an interactive way to visualize inequalities and ensure the solution is accurate.
**Visual Explanation of the Graphing Tool:**
- The tool likely includes a graphical representation where you can manipulate points and lines to clearly display the inequality.
- You'll see axes and a shading feature to add context to the inequality visually.
By using these instructions, students will be able to graph inequalities efficiently and understand the relationship between algebraic expressions and their graphical representations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc01ef12d-4950-4fb4-b8ea-d8f1b4af58cd%2Fa1cfcd62-93d0-404b-83e0-495cf8968b86%2Fcgc1xyn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Graphing Inequalities**
**Instructions:**
Graph the given inequality:
\[ x \geq -4 \]
**Step-by-step Guide:**
1. Use the horizontal number line to locate the point at \( x = -4 \).
2. Since the inequality is \( \geq \), use a closed dot at \( x = -4 \) to indicate that -4 is included in the solution.
3. Shade the line to the right of -4 to show that all numbers greater than -4 are included in the solution.
**Graphing Tool:**
- To create the graph, click on the "Graphing Tool" option.
- Click the button labeled "Click to enlarge graph" for a more detailed view.
- Use the tool to visually represent the inequality on a number line as described.
**Note:** The graphing tool provides an interactive way to visualize inequalities and ensure the solution is accurate.
**Visual Explanation of the Graphing Tool:**
- The tool likely includes a graphical representation where you can manipulate points and lines to clearly display the inequality.
- You'll see axes and a shading feature to add context to the inequality visually.
By using these instructions, students will be able to graph inequalities efficiently and understand the relationship between algebraic expressions and their graphical representations.
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