Match the theorems and terms to their definitions
1 answer:
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Using limits, it is found that the end behavior of the function is given as follows:
As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.
<h3>How to find the end behavior of a function f(x)?</h3>The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.
In this problem, the function is:
Considering that x goes to infinity, for the limits, we consider only the terms with the highest exponents in the numerator and denominator, hence:
.
.
Hence the correct statement is:
As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.
More can be learned about limits and end behavior at brainly.com/question/27950332
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