Math Problem Statement

Solve for x, y intercept, asymptotes and graph f(x) = 3x+4/2x²+3x+1

Solution

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Math Problem Analysis

Mathematical Concepts

Rational Functions
Intercepts
Asymptotes
Quadratic Equations

Formulas

y-intercept: f(0)
x-intercept: set numerator to 0
Vertical asymptotes: set denominator to 0 and solve quadratic equation using the quadratic formula
Horizontal asymptote: based on degrees of the numerator and denominator

Theorems

Quadratic Formula

Suitable Grade Level

Grades 9-12