What term describes a function's value for extreme values of its independent variable?

What term describes a function's value for extreme values of its independent variable?

• A. End Behavior
• B. Asymptote
• C. Limit
• D. Range

Answer: (A)

End behavior describes how a function behaves as the input x goes toward very large positive or negative values. It captures the trend of the graph at the ends and the values the function approaches there. For example, some polynomials grow without bound as x → ∞ or x → −∞, while others level off toward a horizontal line. An asymptote is a line the graph gets close to, but it’s not exactly the end-value the function takes at extreme x. A limit is the value the function approaches as x approaches a specific point, which can be finite or infinite, but end behavior focuses on the overall trend at the far ends. So the term that fits is end behavior.

End behavior describes how a function behaves as the input x goes toward very large positive or negative values. It captures the trend of the graph at the ends and the values the function approaches there. For example, some polynomials grow without bound as x → ∞ or x → −∞, while others level off toward a horizontal line. An asymptote is a line the graph gets close to, but it’s not exactly the end-value the function takes at extreme x. A limit is the value the function approaches as x approaches a specific point, which can be finite or infinite, but end behavior focuses on the overall trend at the far ends. So the term that fits is end behavior.