More on functions from multiple perspectives.

1. More on multiple
perspectives ...
The Giant Twins reprise
by flickr user danorbit.

2. Represent the relation, whose graph is provided, as:
a table of values:
an equation:
Is this a function?

3. A relation is given by the formula y = 2x + 7, x ≥ 2.
Write five ordered pairs for this relation.
Sketch a graph of this relation.
What is the domain and
range of the relation?

4. ordered pairs

5. Functional Notation
To indicate that the number 4 is mapped into the number 7 by the
function f, mathematicians use a special notation called functional
notation and write ƒ(4)= 7.
It means that if you substitute the number 4 into the rule the answer is 7.
Note: Hence, the ordered pair (4, 7) belongs to the function .
ƒ(4)= 7
This notation is reserved only for relations that are functions.
Often, the relation given by a formula such as y = 3x + 7 is written
as g(x) = 3x + 7 to indicate that the formula denotes a function.

6. Functional Notation
If ƒ(x) = 2x - 7
(c) ƒ(5)
Find: (a) ƒ(1) (b) ƒ(2)

7. Functional Notation
Given the function ƒ(x) = 4 – x find the value of
a. ƒ(1) b. ƒ(2) c. ƒ(4) d. ƒ(–3)