If a function f is continuous on (-∞, ∞), it means that the function is defined and continuous at every point in the real number line. This implies that:

1. The graph of f does not have a hole. A hole in a graph occurs when a certain x-value is undefined in the function, which contradicts the fact that f is continuous on all real numbers.

2. The graph of f does not have a jump. A jump in a graph occurs when there is a sudden discontinuity, which contradicts the fact that f is continuous on all real numbers.

3. The graph of f does not have a vertical asymptote. A vertical asymptote occurs when the function approaches infinity or negative infinity at a certain x-value, which contradicts the fact that f is continuous on all real numbers.

So, the correct answer is "none of these".

Question

If a function f is continuous on (-∞, ∞), it means that the function is defined and continuous at every point in the real number line. This implies that:

1. The graph of f does not have a hole. A hole in a graph occurs when a certain x-value is undefined in the function, which contradicts the fact that f is continuous on all real numbers.

2. The graph of f does not have a jump. A jump in a graph occurs when there is a sudden discontinuity, which contradicts the fact that f is continuous on all real numbers.

3. The graph of f does not have a vertical asymptote. A vertical asymptote occurs when the function approaches infinity or negative infinity at a certain x-value, which contradicts the fact that f is continuous on all real numbers.

So, the correct answer is "none of these".

Knowee AI · Accepted Answer

If a function f is continuous on (-∞, ∞), it means that the function is defined and continuous at every point in the real number line. This implies that:

1. The graph of f does not have a hole. A hole in a graph occurs when a certain x-value is undefined in the function, which contradicts the fact that f is continuous on all real numbers.

2. The graph of f does not have a jump. A jump in a graph occurs when there is a sudden discontinuity, which contradicts the fact that f is continuous on all real numbers.

3. The graph of f does not have a vertical asymptote. A vertical asymptote occurs when the function approaches infinity or negative infinity at a certain x-value, which contradicts the fact that f is continuous on all real numbers.

So, the correct answer is "none of these".

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

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