Questions: Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find (a) its domain and range. (b) the intercepts, if any. (c) any symmetry with respect to the x-axis, y-axis, or the origin. Is the graph that of a function? Yes No

Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find (a) its domain and range. (b) the intercepts, if any. (c) any symmetry with respect to the x-axis, y-axis, or the origin. Is the graph that of a function? Yes No
Transcript text: Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find (a) its domain and range. (b) the intercepts, if any. (c) any symmetry with respect to the $x$-axis, $y$-axis, or the origin. Is the graph that of a function? Yes No
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Solution

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Solution Steps

Step 1: Determine if the graph is a function using the vertical-line test
  • The vertical-line test states that if a vertical line intersects the graph at more than one point, the graph is not a function.
  • Observing the graph, a vertical line at \( x = 0 \) intersects the graph at two points.

Final Answer

  • The graph is not a function.
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