  # Find holes in rational function

Find the hole (if any) of the function given below. f (x) = (x2 - x - 2)/ (x - 2) Solution : Step 1: In the given rational function, let us factor the numerator. f (x) = [ (x - 2) (x + 1)]/ (x - 2) Step 2 : After having factored, the common factor found at both    ## Rational Functions: Zeros, Holes, and Vertical Asymptotes

Step 1. Factor the rational function. Step 2. Identify the common factors on the numerator and denominator. Step 3. Set the common factors equal to zero and solve. Step 4. Graph the function, making sure to draw holes at the points
Student reviews ## Rational function holes

holes\:f(x)=\frac{x^{3}-2x^{2}-3x}{x^{2}-4} holes\:f(x)=\frac{5x-x^{2}}{x^{4}-25x^{2}} holes\:f(x)=20\frac{(x-3)(x+4)}{(x-3)^{2}(x-5)} holes\:f(x)=\frac{x(x-1)^{2}}{(x^{2}-1)}

## Holes in Rational Functions

A rational function is a quotient of two functions. The graph of a rational function usually has vertical asymptotes where the denominator equals 0. However, the graph of a rational function will have a hole when a value of x causes both the

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