Answer:
a) False
b) True
Explanation:
a) h(1) = 0/0, which is certainly undefined. There may or may not be a finite limit at that point, so the line x=1 is not necessarily a vertical asymptote.
The assertion that x=1 is necessarily a vertical asymptote is False.
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b) h(2) = 4/0, another undefined value. However, we can be certain that the limit of h(x) as x → 2 is infinite, meaning the line x=2 will be a vertical asymptote.
The assertion that x=2 is necessarily a vertical asymptote is True.
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The graph shows a simple example of a function that has the given characteristics.