Question

Which of the following is true about horizontal asymptotes?

Answer 1

A  function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f ( x ) → a as x → ∞ or x → − ∞  is the correct statement about horizontal asymptotes. Option A

What are horizontal asymptotes?

A horizontal asymptote of a graph can be defined as a horizontal line at  y = b where the graph tend to approach the line as an inputs approach to infinity ( ∞ or –∞).

A slant asymptote of a graph is known as a slanted line y = mx + b where the graph approaches the line as the inputs approach the positive infinity ∞ or  to the infinity –∞.

Thus, a function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f ( x ) → a as x → ∞ or x → − ∞  is the correct statement about horizontal asymptotes. Option A

Learn more about horizontal asymptotes here:

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