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

Solution

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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