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m, y = 3x.

m, y = 3x.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Consider the function, y = 3º. A. In the table to the right, fill in the y-values for y = 3*. B. Then plot the points on the graph to the right. Connect the points with a smooth curve. x | у -2 -1 0 1 C. In the Gizmo, graph y = 3*. Click on the TABLE tab and check your answers. Fix any mistakes to the right, if needed. D. What is the y-intercept of y = 3*? E. What do you think the y-value is when x = 3? 2 -6 -4 -2 10 8 6 4 2 When x = 4? Explain. F. What do negative exponents mean? For example, how do you evaluate 3-²? When x = -4? 2 1. What does the graph approach as x →→∞? A line that a graph gets closer and closer to is called an asymptote. 4 G. What is the y-value when x = −3? Check your answers in the Gizmo. (Hint: You may want to use a calculator to convert your fractions to decimals. The Gizmo shows decimals.) H. Describe the y-values of y = 3× as x approaches negative infinity (x ⇒ −~). 6
Transcribed Image Text:1. Consider the function, y = 3º. A. In the table to the right, fill in the y-values for y = 3*. B. Then plot the points on the graph to the right. Connect the points with a smooth curve. x | у -2 -1 0 1 C. In the Gizmo, graph y = 3*. Click on the TABLE tab and check your answers. Fix any mistakes to the right, if needed. D. What is the y-intercept of y = 3*? E. What do you think the y-value is when x = 3? 2 -6 -4 -2 10 8 6 4 2 When x = 4? Explain. F. What do negative exponents mean? For example, how do you evaluate 3-²? When x = -4? 2 1. What does the graph approach as x →→∞? A line that a graph gets closer and closer to is called an asymptote. 4 G. What is the y-value when x = −3? Check your answers in the Gizmo. (Hint: You may want to use a calculator to convert your fractions to decimals. The Gizmo shows decimals.) H. Describe the y-values of y = 3× as x approaches negative infinity (x ⇒ −~). 6
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