Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Rational Functions
Intercepts
Asymptotes
Domain and Range
Formulas
Rational function: f(x) = (x^2 - 1) / (x^2 + 4)
x-intercepts: Solve for x when f(x) = 0
y-intercept: f(0) = (0^2 - 1) / (0^2 + 4) = -1/4
Horizontal Asymptote: Analyze the degree of numerator and denominator
Theorems
Behavior of rational functions at infinity
Asymptote determination based on degrees of polynomials
Suitable Grade Level
Grades 10-12