HPC 2.1 – Functions Learning Targets: -Determine whether a relation represents a function. -Find the value of a function. -Find the domain of a function. -Identify the graph of a function. -Obtain information from or about the graph of a function.

Use your book to define the following: RELATION – FUNCTION – DOMAIN – RANGE – *** Are all RELATIONS FUNCTIONS? Explain…

Ex 1) Determine whether each relation represents a function. If it is a function, state the domain and range. a){(1, 4), (2, 4), (3, 5), (6, 10)} b){(-3, 9), (-2, 4), (0, 0), (1, 1), (-3, 8)}

Function Notation  What is the independent variable? What is the dependent variable?

Ex 2) For the function f defined by evaluate each of the following: a) b) c) d) e)

Ex 3) Determine if the given equation is a function:

Ex 4) Find the domain of each of the following functions: a) b) c)

VERTICAL LINE TEST What is it? Draw a graph that is a function and one that is not:

Ex 5) Consider the function a)Is the point (1, 0.5) on the graph of f? b)If x = -1, what is f(x) = ? What point is on the graph of f? a)If f(x) = 2, what is x = ? What point is on the graph of f?