1.Functions and Their Graphs
Essentials:
,
, Relation vs. Ordered Pair
Relation? Many. Two sets of domain and range.
Ordered pair? Singular. A coordinate in the form of (x, y).
What is a function? A rule where an input or x determines an output or y.
Names for inputs and outputs:
Input Output
x y
Domain Range
x f(x)
Independent variable Dependent variable
How to evaluate a function or find the domain of a function?
1. By given inputs
2. Assuming the domain as the set of all real numbers.
3. Excluding any numbers when a denominator is zero.
4. Excluding any numbers when the expression inside a radical or radicand is
negative.
Essentials:
,
, Relation vs. Ordered Pair
Relation? Many. Two sets of domain and range.
Ordered pair? Singular. A coordinate in the form of (x, y).
What is a function? A rule where an input or x determines an output or y.
Names for inputs and outputs:
Input Output
x y
Domain Range
x f(x)
Independent variable Dependent variable
How to evaluate a function or find the domain of a function?
1. By given inputs
2. Assuming the domain as the set of all real numbers.
3. Excluding any numbers when a denominator is zero.
4. Excluding any numbers when the expression inside a radical or radicand is
negative.
