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Sketch a graph of x = 3t-1, y=t-1. -5 -4 -3 -2 -1 Clear All Draw: 5 4 3- 2 1 -1 -2 -3 -4 -5 1 2 3 4 5 ۸۳ کو What is the orientation of the graph?

Sketch a graph of x = 3t-1, y=t-1. -5 -4 -3 -2 -1 Clear All Draw: 5 4 3- 2 1 -1 -2 -3 -4 -5 1 2 3 4 5 ۸۳ کو What is the orientation of the graph?

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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**Sketch a Graph** Objective: Sketch a graph of the parametric equations \( x = 3t - 1 \) and \( y = t - 1 \). **Graph Setup:** - The graph is plotted on a Cartesian coordinate system with both x and y axes labeled from -5 to 5. **Instructions:** 1. Begin plotting by substituting different values of \( t \) into the equations. 2. Calculate corresponding \( x \) and \( y \) values. 3. Plot these points on the graph. 4. Connect the points to form a straight line, using the slope derived from the equations. **Interactive Elements:** - A selection of drawing tools is available, including options for lines, curves, and other patterns. - The line drawing tool is selected to sketch a linear graph. **Question:** - Determine the orientation of the graph. - Options: - ○ left to right - ○ right to left To identify the correct orientation, observe the direction in which the line progresses as \( t \) increases. **Conclusion:** The graph represents a straight line. Ensure the correct orientation by tracing the progression of points as \( t \) increases.
Transcribed Image Text:**Sketch a Graph** Objective: Sketch a graph of the parametric equations \( x = 3t - 1 \) and \( y = t - 1 \). **Graph Setup:** - The graph is plotted on a Cartesian coordinate system with both x and y axes labeled from -5 to 5. **Instructions:** 1. Begin plotting by substituting different values of \( t \) into the equations. 2. Calculate corresponding \( x \) and \( y \) values. 3. Plot these points on the graph. 4. Connect the points to form a straight line, using the slope derived from the equations. **Interactive Elements:** - A selection of drawing tools is available, including options for lines, curves, and other patterns. - The line drawing tool is selected to sketch a linear graph. **Question:** - Determine the orientation of the graph. - Options: - ○ left to right - ○ right to left To identify the correct orientation, observe the direction in which the line progresses as \( t \) increases. **Conclusion:** The graph represents a straight line. Ensure the correct orientation by tracing the progression of points as \( t \) increases.
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