AP Calculus ABeasymcq1 pt

Suppose limxf(x)=4\lim_{x\to\infty} f(x)=4. Which statement follows about the graph of ff?

A.The line y=4y=4 is a horizontal asymptote.
B.The line x=4x=4 is a vertical asymptote.
C.The line y=0y=0 is a horizontal asymptote.
D.The graph has no horizontal asymptote.

Explanation

Core Concept

A limit of 44 as xx\to\infty means the graph levels off toward the horizontal line y=4y=4, so y=4y=4 is a horizontal asymptote.

Correct Answer

AThe line y=4y=4 is a horizontal asymptote.

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