1) Functions of the form f(x)= N(x) / D(x) where N(X) and D(X) are polynomials and D(X) is not the zero polynomial, are called ___ ____.
2) When f(x) -> +- infinity as x -> a (number in the denominator) from left to right, x= a is a ___ ___ of the graph of f.
3) When f(x) -> b (a real number) as x -> +- infinity, y=b is a ___ _____ of the graph of f.
4) For the rational function f(x)= N(X)/D(X), if the degree of N(x) is exactly one more than the degree of D(X), then the graph of f has a ___ (or oblique) ___.
1) Functions of the form f(x)= N(x) / D(x) where N(X) and D(X) are polynomials and D(X) is not the zero polynomial, are called ___ ____.
rational functions
2) When f(x) -> +- infinity as x -> a (number in the denominator) from left to right, x= a is a ___ ___ of the graph of f.
vertical asymptotes
3) When f(x) -> b (a real number) as x -> +- infinity, y=b is a ___ _____ of the graph of f.
horizontal asymptote
4) For the rational function f(x)= N(X)/D(X), if the degree of N(x) is exactly one more than the degree of D(X), then the graph of f has a ___ (or oblique) ___.
slant or oblique asymptote
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