Math Problem Statement

Graph the rational function.f(x) = -10x+20/x^2-x-20

Start by drawing the vertical and horizontal asymptotes. Then plot the intercepts (if any), and plot at least one point on each side of each vertical asymptote. Finally, click on the graph-a-function button.

Solution

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Math Problem Analysis

Mathematical Concepts

Rational Functions
Asymptotes
Intercepts

Formulas

Vertical asymptote: Set the denominator equal to zero and solve for x.
Horizontal asymptote: Compare the degrees of the numerator and denominator.
Intercepts: Set the function equal to zero to find the x-intercepts and evaluate f(0) to find the y-intercept.

Theorems

Rational Function Asymptote Theorem
Intercept Theorem

Suitable Grade Level

Grades 9-12