Lesson 4: Determining the Domain and Range of a Function

Lesson 4: Determining the Domain and Range of a Function
Part A: Introduction
Recall:
Given any relation (regardless of how it’s expressed – table of values, using words,
listing the elements, mapping diagram, graph, or equation) you should be able to
determine the domain (all values of independent (x) variable) and range (all
values of dependent (y) variable) of this relation.
Part B: Examples
Example : Determine the domain and range from the following graphs.
a)
b)
y
c)
y
2
x
-2
y
1
x
-3
2
-3
D= _____________
D= _____________
D= _____________
R =_____________
R =_____________
R =_____________
Note: a,b,c, above are each a SKETCH of a function.
d)
y
e)
f)
y
y
x
x
x
D= _____________
D= _____________
D= _____________
R =_____________
R =_____________
R =_____________
Note: d,e,f above are each a GRAPH of a function.
x
Example : Determine the domain and range from the function equation.
1
b) f (x )   (x  1)  5
2
a) g (x )  2x  4
D= _____________
D= _____________
R =_____________
R =_____________
d) g (x )  x 2  y 2  9
c) f (x )  x  2
D= _____________
D= _____________
R =_____________
R =_____________
Example : David’s family went on a 6-hour car trip. They travelled at an
average speed of 90km/h.
a) Write a function to describe the distance travelled.
b) State the domain and range of the function.
D= _____________
R =_____________

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