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.
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Objectives: 1.Determine whether a relation is a function. 2.Find function values. F.IF.1Understand that a function from one set (called the domain) to.
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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?