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Rational Functions Definition:. f(x) = polynomial polynomial Where the denominator does not = 0. The simplest rational function is ……………. f(x) = 1 x The reciprocal parent function. Sketch the graph of. What is the domain and range?.
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Rational FunctionsDefinition: f(x) = polynomial polynomial Where the denominator does not = 0.
The simplest rational function is …………… f(x) = 1 x The reciprocal parent function.
Sketch the graph of What is the domain and range? Where the function has an asymptote it is undefined.
To FindHoles 1) Factor. 2) Reduce. • A hole is formed when a factor is eliminated from the denominator. • Set eliminated factor = 0 and solve for x. 5) Find the y-value of the hole by substituting the x-value into reduced form and solve for y. 6) Your answer is written as a point.
To find Vertical Asymptote(s) 1) Set reduced denominator = 0 • Solve for x =. • Your answer is written as a line.
To find x- intercept(s) • Set reduced numerator = 0 2) Solve for x. 3) Answer is written as a point. (#, 0)
To find y- intercept 1) Substitute 0 in for all x’s. • Solve for y. • Answer is a point. (0, #)
END BEHAVIORBOBO Big on Bottom: H.A. at y = 0 Always y = 0.
END BEHAVIORBOTN Big on TOP NO: No H.A. Slant Asymptote that is linear with either positive or negative slope.
END BEHAVIOREATS DC Exponents Are The Same: H.A. at: y = divide the leading coefficients.