Download 4.6: Date: ______ Algebra 1 Advanced A is a pairing of numbers in

4.6: ________________________________________________
Algebra 1 Advanced
Date: __________
A ______________ is a pairing of numbers in one set, called the ___________, with numbers to
another set, called the ____________. A relation is often represented as a set of ordered pairs
________. In this case, the domain is the set of ____________ and the range is the set of
____________.
DOMAIN = __________________
RANGE = __________________
MAPPINGS:
Ex 1). Identify the domain and range of each relation. Represent the relation with a mapping
diagram. Is the relation a function?
a)
{(-3, 1), (0, 2), (1, 1), (2, 4)}
b)
{(4, 6), (5, 1), (7, 2), (5, 2)}
VERTICAL LINE TEST: If any vertical line passes through ________ than one point of the graph, then
for some domain value there is more than one range value, therefore the relation is ______ a
function.
Ex 2). Is the relation a function? Use the vertical line test.
a)
{(-4, -4), (-2, 3), (-4, 0), (5, -2), (5, 1)}
b)
𝑦 = 2𝑥 2 + 1
Function Notation: f(x) replaces _____. It is read “______________.” The letter f is the name of the
function, not a variable. Function notation is used to emphasize that the function value f(x)
_______________ on the independent variable ______. Other letters besides f can be used, such as
g and h.
Ex 3). The function T(x) = 65x represents the number of words T(x) that Rachel can type in x
minutes. How many words can she type in 7 minutes?
Ex 4). What is the range of f(x) = 3x – 2 with a domain {1, 2, 3, 4}?
Ex 5). Lorena has 4 rolls of ribbon to make party favors. Each roll can be used to make 30 favors.
The function F(r) = 30r represents the number of favors F(r) that can be made with r rolls. What are
the reasonable domain and range of the function? What is the graph of the function?
Homework: pg. 271 #1 – 5, 7 – 16, 18 – 25, 31