Questions/Main
Ideas:
ELL Algebra 1
Notes
Name: ________________________
Period: _______Date: ____________
TOPIC: Function Notation
CLOs: 1)Define notation and function notation. 2) Identify the function notation symbol. 3) Evaluate a
function. 4) Identify an equation written in function form. 5) Change an equation written in function
form into an equation written in function notation form. 6) Evaluate functions.
signs or symbols
What Is Notation?
Notation is a system of _____________________________that represent words,
numbers, phrases, etc.
A good example of notation is musical notation.
What is Function Notation?
Function Notation is a ___________________________ used in mathematics.
system of
symbols
This is a linear function:
y = 3x + 7,
but it is not written in function
notation form.
Let's call this function f, we can then rewrite it with function notation:
________________________
FUNCTION FORM
An equation is in function form when it starts with “ y  ”.
Examples:
Function form
2 y  3x  6
y  3x  1
y  x  25
3x  y
NOT function form
y4
4x  2 y  8
 y  2x
9x  7  3y
FUNCTION NOTATION
To change a function form equation into function notation,
change the “ y  ” into “ f ( x)  ”.
Examples:
Function FORM
Function NOTATION
y  3x  1
_______________________
y4
_______________________
2 x 1  y
_______________________
x  2  y
_______________________
y0
_______________________
EVALUATING FUNCTIONS
Substitute the number inside the f  ___  wherever the
f  x   3 x  2  f   4 
Ex.
 _______
f  2.5 
 _______
f b 
 ________
f ( x)  4 x  9
You try: Evaluate the following functions:
a.
g  6
X is, and then simplify.
b. f  3
1
2
c. h  
g ( x)  3 x3  9
3.25
h( x )   2 x 
1
2