Transcript Section 7.1 - Functions

Section 7.1 - Functions
Function: A function is a correspondence
between a first set, called the domain and
a second set called the range such that
each member of the domain corresponds
to exactly one member of the range. A
function consists of a set of ordered pairs
and can be described in any of the
following manners.
For each problem below list the ordered pairs and indicate
if the ordered pairs represent a function.
1. Mappings
List the ordered pairs.
1
2
3
4
5
9
13
17
Domain
Range
1
2
3
4
5
9
13
17
Domain
Range
2.
a.
Equations
y = 3x + 2
Identify three ordered pairs
x
y
Graph your ordered pairs
3. Graphs
a. See page 451 problem 26
Complete these ordered pairs:
x
3
-2
-4
0
y
4. Function Notation:
f(x) = 3x - 5
Read: f of x is equal to …., the f(x) symbol
replaces the “y” in the equation.
This notation can be used to “evaluate” the
function and to identify ordered pairs that
“fit” the function.
a. If f(x) = 3x + 2, Evaluate the linear function and
identify the three ordered pairs
a. f(2) =
b. f(-4) =
c. f(0) =
x
y or f(x)
b. If g(x) = x2 + 5, Evaluate this polynomial
function and identify the three ordered pairs
a. g(3) =
b. g(-1) =
c. g(0)=
x
y or g(x)
2x  4
If h( x) 
evaluate this rational function
x6
and identify the three ordered pairs:
a. h(7) =
b. h(14) =
c. h(6)=
x
y or h(x)
5. Graphs of functions: For each graph determine
a. f(0), b. f(1), and c. f(-3)
See page 451 – problem 28
a.
b.
c.
See Page 451 - problem 30
a.
b.
c.