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Select the range of the graph below. Select one: A. All nonnegative real numbers. B. All real numbers. C. (0, ∞) D. (-∞, 0) E. All real numbers from -6 to +6. 1 -2-

Select the range of the graph below. Select one: A. All nonnegative real numbers. B. All real numbers. C. (0, ∞) D. (-∞, 0) E. All real numbers from -6 to +6. 1 -2-

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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### Determine the Range of the Given Graph In the diagram provided, there is a graph of a straight line plotted on a coordinate plane with both x and y axes labeled and marked. The line extends infinitely in both directions and passes through the center (0,0) of the graph, creating an angle with the x-axis. You are required to select the range of this graph from the given options. **Graph Description:** - The y-axis ranges from -5 to +5. - The x-axis ranges from -5 to +5. - The line crosses the y-axis at y = 0 and the x-axis at x = 0. - The line then continues to extend both upwards to the top right and downwards to the bottom left. **Question:** Select the range of the graph below. **Options:** - A. All nonnegative real numbers. - B. All real numbers. - C. \( (0, \infty) \) - D. \( (-\infty, 0) \) - E. All real numbers from -6 to +6. Choose the correct option based on the range ($y$-values) covered by the straight line. **Explanation of the Graph:** The line on the graph indicates that for every x-value along the x-axis, there is a corresponding y-value along the y-axis. Since the line extends infinitely both upward and downward, the y-values that the line passes through span from negative infinity to positive infinity. ### Choose the Correct Answer The correct answer is: - **B. All real numbers.** This is because the graph shows a line that spans all possible y-values, from negative to positive infinity.
Transcribed Image Text:### Determine the Range of the Given Graph In the diagram provided, there is a graph of a straight line plotted on a coordinate plane with both x and y axes labeled and marked. The line extends infinitely in both directions and passes through the center (0,0) of the graph, creating an angle with the x-axis. You are required to select the range of this graph from the given options. **Graph Description:** - The y-axis ranges from -5 to +5. - The x-axis ranges from -5 to +5. - The line crosses the y-axis at y = 0 and the x-axis at x = 0. - The line then continues to extend both upwards to the top right and downwards to the bottom left. **Question:** Select the range of the graph below. **Options:** - A. All nonnegative real numbers. - B. All real numbers. - C. \( (0, \infty) \) - D. \( (-\infty, 0) \) - E. All real numbers from -6 to +6. Choose the correct option based on the range ($y$-values) covered by the straight line. **Explanation of the Graph:** The line on the graph indicates that for every x-value along the x-axis, there is a corresponding y-value along the y-axis. Since the line extends infinitely both upward and downward, the y-values that the line passes through span from negative infinity to positive infinity. ### Choose the Correct Answer The correct answer is: - **B. All real numbers.** This is because the graph shows a line that spans all possible y-values, from negative to positive infinity.
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