Determine whether the graph is that of a unction by using the vertical-line test

Question

Determine whether the graph is that of a unction by using the vertical-line test. If it is, use the graph to find: (a) The domain and range (b) The intercepts, if any (c) Any symmetry with respect to the x-axis, the y-axis, or the origin (b) lIf the graph is that of a function, what are Its Intercepts? Select the correct choice below and, If necessary, fill in the answer box to complete your cholce. O A. The intercepts are (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no intercepts. OC. The graph is not a function (c) If the graph is that of a function, determine what kinds of symmetry it has. Select all that apply A. It is symmetric with respect to the y-axis. B. It is symmetric with respect to the origin. ? C. It is symmetric with respect to the x-axis. D. The graph is not symmetric with respect to the x-axis, y-axis, or the origin.

Explanation / Answer

a) domin is (-infinity , + infinity )

range is [ -9 , infinity )

b) intercepts = ( -2,0) , (4,0 ) , ( 0,-4)

c) graph is that of a function

it is not symmteric with respect to x axis, y axis or origin

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