1-7 Functions

Objectives:1. Determine whether a relation is a function.

2. Find function values.

F.IF.1 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

F.IF.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

Function: Relationship between input and output.There is exactly one output for each input.

Example 1: Determine whether each relation is a function. Explain.

»Graph that consists of points that are not connected is a discrete function.»A function graphed with a

smooth curve is a continuous function.

Example 2: Tell whether the graph would be continuous or discrete.

a. A truck driver enters a street, drives at a constant speed, stops at a light, then continues. CONTINUOUS or DISCRETE?

b. A candy store started with 10 pieces of candy and makes 20 more each day.CONTINUOUS or DISCRETE?

Example 3: Function or not?» Vertical Line Test:

˃ Helps see if a graph represents a function.˃ If vertical a line intersects the graph more than once, then the graph is

not a function.

Representations of Functions

Representations of a Function

Table Mapping Equation Graph

Function Notation» instead of » represents the elements of the domain and

represents the elements of the range.Example 4: For , find each value.a) b)

Triva…

1. What is the name of the friendly skunk in Walt Disney‘s Bambi?

FLOWER

2. What popular sport was known in ancient Germany as Heidenwerfen?

BOWLING

Example 5: Find each value for

a) b)

Example 5: Find each value for

a) d)

Homework

» Pages 52-53: 20-25, 27, 33 – 43 odd