Introduction to Rational Functions  - Concept

Concept Concept (1)

We have rational functions whenever we have a fraction that has a polynomial in the numerator and/or in the denominator. An excluded value in the function is any value of the variable that would make the denominator equal to zero. To find the domain, list all the values of the variable that, when substituted, would result in a zero in the denominator.

Sample Sample Problems (8)

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Introduction to Rational Functions  - Problem 1

Find the domain of

f(x) = 4
x
Problem 1
How to find excluded values of a rational function where there are no sums or differences.
Introduction to Rational Functions  - Problem 2

Find the domain of

f(x) = 4
x − 3
Problem 2
How to find excluded values of a rational function where there is a sum or difference in the denominator.
Introduction to Rational Functions  - Problem 3

Find the domain of

f(x) = 4
2x² + 5x + 3
Problem 3
How to find excluded values of a rational function when the denominator is a factorable trinomial.
Introduction to Rational Functions  - Problem 4
Problem 4
Vertical and horizontal translations on the parent graph of a rational function.
Introduction to Rational Functions  - Problem 5
Problem 5
Reflecting the parent graph of a rational function across the x axis
Introduction to Rational Functions  - Problem 6
Problem 6
Vertical translations on the parent graph of a rational function.
Introduction to Rational Functions  - Problem 7
Problem 7
Domain restrictions and excluded values of rational expressions.
Introduction to Rational Functions  - Problem 8
Problem 8
Sketching rational functions and asymptotes using horizontal transformations.