Determine whether the graph on the right is that of a function by using the vertical-line test. If it is, use the graph to find the following. (a) the domain and range (assume that the curve approaches but never intersects the y-axis) (b) the intercepts, if any (c) any symmetry with respect to the x-axis, y-axis, or the origin A. Yes, the graph is a function because every vertical line intersects the graph in at most one point. OB. No, the graph is not a function because a vertical line x = -3 intersects the graph at two points. O C. No, the graph is not a function because a vertical line x = -3 intersects the graph at only one point. O D. Yes, the graph is a function because every vertical line intersects the graph in more than one point. (a) What are the domain and range of the function? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The domain is The range is (Type your answers in interval notation. Use integers or fractions for any numbers in the expressions.) OB. The graph is not that of a function.

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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**Determine whether the graph on the right is that of a function by using the vertical-line test. If it is, use the graph to find the following:**

(a) the domain and range (assume that the curve approaches but never intersects the y-axis)  
(b) the intercepts, if any  
(c) any symmetry with respect to the x-axis, y-axis, or the origin  

**Answer Choices:**

- **A.** Yes, the graph is a function because every vertical line intersects the graph in at most one point.
- **B.** No, the graph is not a function because a vertical line x = –3 intersects the graph at two points.
- **C.** No, the graph is not a function because a vertical line x = –3 intersects the graph at only one point.
- **D.** Yes, the graph is a function because every vertical line intersects the graph in more than one point.

**Selected Answer:**  
✔ A. Yes, the graph is a function because every vertical line intersects the graph in at most one point.

**(a) What are the domain and range of the function? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.**

- **A.** The domain is [ ]. The range is [ ].  
  *(Type your answers in interval notation. Use integers or fractions for any numbers in the expressions.)*

- **B.** The graph is not that of a function.

**Graph Details:**

The graph is plotted on a Cartesian coordinate system with labeled axes (x and y) and grid lines. A blue curve is shown approaching but not intersecting the y-axis and is marked with direction arrows. Notable points include coordinates (4, 5).

The graph describes a curve suggesting movement primarily within the first quadrant, indicating that the curve has a specific domain and range without intersecting the y-axis fully, adhering to the characteristics of a function as per the vertical-line test.
Transcribed Image Text:**Determine whether the graph on the right is that of a function by using the vertical-line test. If it is, use the graph to find the following:** (a) the domain and range (assume that the curve approaches but never intersects the y-axis) (b) the intercepts, if any (c) any symmetry with respect to the x-axis, y-axis, or the origin **Answer Choices:** - **A.** Yes, the graph is a function because every vertical line intersects the graph in at most one point. - **B.** No, the graph is not a function because a vertical line x = –3 intersects the graph at two points. - **C.** No, the graph is not a function because a vertical line x = –3 intersects the graph at only one point. - **D.** Yes, the graph is a function because every vertical line intersects the graph in more than one point. **Selected Answer:** ✔ A. Yes, the graph is a function because every vertical line intersects the graph in at most one point. **(a) What are the domain and range of the function? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.** - **A.** The domain is [ ]. The range is [ ]. *(Type your answers in interval notation. Use integers or fractions for any numbers in the expressions.)* - **B.** The graph is not that of a function. **Graph Details:** The graph is plotted on a Cartesian coordinate system with labeled axes (x and y) and grid lines. A blue curve is shown approaching but not intersecting the y-axis and is marked with direction arrows. Notable points include coordinates (4, 5). The graph describes a curve suggesting movement primarily within the first quadrant, indicating that the curve has a specific domain and range without intersecting the y-axis fully, adhering to the characteristics of a function as per the vertical-line test.
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