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If the degree of the numerator of a rational function is one greater than the degree of the denominator, the graph has an oblique(slanted)asymptote. We find an equation for the asymptote by dividing numerator by denominator to express f as a linear function plus a remainder that goes to zero as . Here is an example.
The function f(x) = x is called the identity function.
All composites of continuous functions are continuous.
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At what points are the following functions continuous?
1.
2. 3.
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(k is any integer)