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Running Head: RATIONAL FUNCTIONS AND INEQUALITIES UNIT ASSIGNMENT Rational Functions and Inequalities Unit Assignment Yuvraj Chaudhry Virtual High School MHF4U m1 + , Advanced Functions Mr. Andre... Bergeron 31th December 2020 P a g e | 2 RATIONAL FUNCTIONS AND INEQUALITIES UNIT ASSIGNMENT Question 1 : a) What is a rational function? b) How is it different from a polynomial? c) Provide a graph of each to demonstrate the difference. Answer 1 : a) A rational function is a ratio of two polynomial functions of the form f(x) = p(x)/q(x), where p(x) and q(x) are polynomials and q(x) ≠ 0. For example, f(x) = (x2 - 6) / (x - 3) where x ≠ 3. b) A polynomial is an expression consisting of addition, subtraction, multiplication and non-negative integer exponentiation of variables of the form f(x) = anx n + anx n-1 + ….. a1x + a0 , whereas, a rational function is an algebraic fraction such that both the numerator and denominat [Show More]

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