Question

Delilah thought that the domain of every function is all real numbers.

Select the graph that refutes Delilah's claim.
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A.
A line passing through (-4, 4), (0, 4), and (4, 4).

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B.
A curve passing through (4, -4), (-2, 0), and (0, 4).

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C.
A piece of the line passes through (-6, 0) and ends with a closed dot at (-2, 4). Another piece of the line starts with an open dot at (4, 4) and slopes upward.

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D.
A V-shaped relation passes through (8, 5), (6, 2), and (8, -1).

Answer 1

C

The graph in C has no points for x between -2 and 4 (and x = 4 is excluded by the open dot), so its domain is (-∞, -2] ∪ (4, ∞), not all real numbers. This refutes Delilah's claim.