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Consider the following graphs. X X X D B y E y

Consider the following graphs. X X X D B y E y

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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**Consider the following graphs.** **Graph A:** This graph shows a curve that begins in the third quadrant, dips slightly in the second quadrant, and then rises steeply in the first quadrant. The curve appears continuous without any gaps. **Graph B:** This graph consists of two distinct line segments. One segment starts in the second quadrant and ends in the fourth quadrant, while the other segment starts in the first quadrant and ends halfway through the second quadrant. The two segments do not touch or intersect. **Graph C:** This graph is a piecewise linear function with three connected linear segments forming a zigzag pattern. It starts in the third quadrant, flattens through the second quadrant, and then rises in the first quadrant. **Graph D:** This graph shows two distinct line segments. One segment is in the third quadrant, and the other is above and parallel to it in the first and second quadrants. The lines do not intersect and the segment in the first quadrant ends with an open circle. **Graph E:** This graph features a curve that starts in the first quadrant close to the y-axis, and rapidly rises as it moves to the right, with no breaks or gaps. **Question:** Which of the graphs are one-to-one functions? (Select all that apply.)
Transcribed Image Text:**Consider the following graphs.** **Graph A:** This graph shows a curve that begins in the third quadrant, dips slightly in the second quadrant, and then rises steeply in the first quadrant. The curve appears continuous without any gaps. **Graph B:** This graph consists of two distinct line segments. One segment starts in the second quadrant and ends in the fourth quadrant, while the other segment starts in the first quadrant and ends halfway through the second quadrant. The two segments do not touch or intersect. **Graph C:** This graph is a piecewise linear function with three connected linear segments forming a zigzag pattern. It starts in the third quadrant, flattens through the second quadrant, and then rises in the first quadrant. **Graph D:** This graph shows two distinct line segments. One segment is in the third quadrant, and the other is above and parallel to it in the first and second quadrants. The lines do not intersect and the segment in the first quadrant ends with an open circle. **Graph E:** This graph features a curve that starts in the first quadrant close to the y-axis, and rapidly rises as it moves to the right, with no breaks or gaps. **Question:** Which of the graphs are one-to-one functions? (Select all that apply.)
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