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Question
- - / 6.25 points if f is continuous on (-∞, ∞), what can you say about its graph? (select all that apply.) the graph of f has a hole. the graph of f has a jump. the graph of f has a vertical asymptote. none of these resources read it
Brief Explanations
A function that is continuous on $(-\infty,\infty)$ has no holes, jumps, or vertical asymptotes. Holes occur where the function is undefined at a single - point but has a limit at that point. Jumps are discontinuities where the left - hand and right - hand limits exist but are not equal. Vertical asymptotes are points where the function approaches infinity or negative infinity. Since $f$ is continuous everywhere, it does not have these types of discontinuities.
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