End Behaviour: An important characteristic of a function is its end behaviour. i.e., what happens to the function for extreme values of x (negative infinity -∞ or positive infinity ∞)] As x takes on a very large positive value we say "as x→+∞o" and as x takes on a very large negative value we say as x→→∞0. In this example: as x→+oo, the value of f(x) gets larger in the negative direction. We say as x→-o, the value of f(x) gets larger in the positive direction. We say

Advanced Engineering Mathematics
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End Behaviour:
An important characteristic of a function is its end behaviour. i.e., what happens to the function for extreme
values of x (negative infinity - ∞ or positive infinity oo)] As x takes on a very large positive value we say
“as x→→+∞o” and as x takes on a very large negative value we say as x→-00.
In this example:
as x→+∞o, the value of f(x) gets larger in the
negative direction. We say
as x→→∞o, the value of f(x) gets larger in the
positive direction. We say
Transcribed Image Text:End Behaviour: An important characteristic of a function is its end behaviour. i.e., what happens to the function for extreme values of x (negative infinity - ∞ or positive infinity oo)] As x takes on a very large positive value we say “as x→→+∞o” and as x takes on a very large negative value we say as x→-00. In this example: as x→+∞o, the value of f(x) gets larger in the negative direction. We say as x→→∞o, the value of f(x) gets larger in the positive direction. We say
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