Rational Functions and Inequalities Unit Assignment.docx -...

This preview shows page 1 - 3 out of 8 pages.

Question 1 A) What is a rational function? A rational function is a function where both the denominator and the numerator are polynomials. The polynomial in the rational function denominator cannot be zero. B) How is it different from a polynomial? All rational functions have two polynomial functions in it. However, not all polynomial functions are rational functions. A rational function is a ratio of two polynomials functions. Examples of polynomial functions could be f(x)= 7x 3 +x 2 -2 and g(x)= x+5. An example of rational functions can be h(x)= f(x)/g(x). Another difference between polynomials and rational functions is that rational functions have both vertical and horizontal asymptotes. C) Provide a graph of each to demonstrate the difference. A rational function: A polynomial function: F(x)= (x 2 +5) / (x-3) h(x)= 2x 2 +4x-2
Question 2 For the following functions, find: X-intercept Y-intercept holes Vertical asymptote A) f(x)= (2x 2 -5) / (x 2 ) Light blue answers are x- intercepts.

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture