You identified domains and ranges for given situations.

• Analyze relations and functions.

• Use equations of relations and functions.

• Function Notation

• f(x)-”f of x”

-”function f in terms of x”

x f(x)

Domain Range

Input Output

Independent Dependent

• Evaluate the function for the following values:

• Discrete-a graph that consists of points that are not connected

• Continuous- a graph of points that can be connected with a smooth line or curve.

Domain and Range

State the domain and range of the relation. Then determine whether the relation is a function.

The relation is {(1, 2), (3, 3), (0, –2), (–4, –2), (–3, 1)}.

Answer: The domain is {–4, –3, 0, 1, 3}. The range is {–2, 1, 2, 3}. Each member of the domain is paired with one member of the range, so this relation is a function. It is onto, but not one-to-one.

State the domain and range. Then, determine whether the relation is a function.

Graph y = 2x + 5. Then, state the domain and range. Determine if the relation is a function.

• Graph . State the domain and range.