Function Domain, Range, and Graphical Interpretation Notes

Domain and Range of Functions

Understanding Domain and Range: An Introduction

• Domain: The set of all possible input values (x-values) for which a function is defined.
• Range: The set of all possible output values (y-values) that a function can produce.
• The domain and range provide a strong indication of what a graph will look like.

Domain and Range of f(x) = x^2

Domain

• For the function f(x) = x^2, any real number can be plugged in for x and squared.
• This means the entire number line is included in the domain.
• Interval Notation: (-rac{\infty}{,}rac{\infty}{}).
• Alternative Notation: A fancy '\mathbb{R}' symbol is sometimes used to denote