Math Problem Statement
Write a rational function that has the following characteristics: The only zero is 4; asymptotes at x=-2, x=3, and y= (5/3)
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Rational Functions
Zeros of Functions
Asymptotes
Formulas
Rational Function: f(x) = (numerator)/(denominator)
Horizontal Asymptote: Ratio of leading coefficients
Vertical Asymptote: Denominator = 0 when the numerator ≠ 0
Theorems
Horizontal Asymptote Theorem
Vertical Asymptote Theorem
Zero of a Function Theorem
Suitable Grade Level
Grades 10-12
Related Recommendation
Rational Function with Vertical Asymptotes at x = -2, x = 3 and Horizontal Asymptote y = 0
Constructing a Rational Function with Specific Asymptotes and Intercepts
Identify the Rational Function with Zeros and Vertical Asymptotes
Write an Equation for the Function Graphed with Vertical and Horizontal Asymptotes
Understanding Rational Functions and Vertical Asymptotes - Explained