Name ________________________________________________________ Date _______________________
Function Notation
We’ve already been using function notation in every lesson so far. Function notation is the
best way to represent a function algebraically. But first, reminder – what makes a function?
Example 1… Are the following relations functions? Why or why not?
a.
b.
Instead of just using
function notation uses any letter of the alphabet, and specifies
what’s going to be the variable in the equation. Write some examples below.
When you see function notation with a number in the parentheses, your job is to find out
what the range value will be if that number is the domain value. In other words … plug it in.
Example 2… Given the functions
following.
a.
b.
c.
d.
e.
Now, let’s try evaluation from a table or a graph.
and
, evaluate the
Example 2… Given each table or graph, give the domain and range, decide if it is a
function and whether it is continuous or discrete. Then evaluate it for
a.
b.
x
f(x)
x
f(x)
-3 4
-2 13
-2 7
-1 12
1
4
0
11
2
-1
1
10
3
-8
2
9
c.
d.
and
.