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(Solved): Determine whether the graph on the right is that of a function by using the vertical-line test. If ...
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 Does the graph represent a function? Choose the correct answer below. A. Yes, the graph is a function because every vertical line intersects the graph in at most one point. B. Yes, the graph is a function because every vertical line intersects the graph in more than one point. C. No, the graph is not a function because a vertical line \( x=4 \) intersects the graph at two points. D. No, the graph is not a function because a vertical line \( x=4 \) intersects the graph at only 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. (b) What is/are the intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) B. Thare are no intercants.
(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. (b) What is/are the intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your cho A. The intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no intercepts. C. The graph is not that of a function. (c) Determine if the graph is symmetric with respect to the \( x \)-axis, \( y \)-axis, or the origin. Select wal that apply. A. The graph is symmetric with respect to the \( x \)-axis. B. The graph is symmetric with respect to the \( y \)-axis. C. The graph is symmetric with respect to the origin. D. The graph has no symmetry. E. The graph is not that of a function.
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