1. Domain and Range 5.1B Chapter 5 Relations and Functions 5.1B.1
MATHPOWERTM 10, WESTERN EDITION
5.1B.1

2. Writing the Domain and Range
When the graph contains
only points (a discrete graph),
list the points as ordered
pairs then list the
domain and range.
(3, 6)
(2, 4)
(1, 2)
Do = {x | x = 1, 2, 3}
Ra = {y | y = 2, 4, 6}
5.1B.2

3. Writing the Domain and Range
For a line segment,
list all the points
between the two
end points.
2 ≤ x ≤ 5
1≤ x ≤ 6
The domain must include all
the x values between 1 and 6.
Do = {x | 1 ≤ x ≤ 6}
The range must include all
the y values between 2 and 5.
Ra = {y | 2 ≤ y ≤ 5}
5.1B.3

4. Writing the Domain and Range
For a ray, consider all
the points from the
initial point, and all
those points in the
direction of the ray.
Do = {x | x ≥ 2}
Ra = {y | y ≥ 2}
5.1B.4

5. Writing the Domain and Range
An oblique line will contain
all possible x and y points.
Do = {x | x Î R}
Ra = {y | y Î R}
5.1B.5

6. Writing the Domain and Range
Do = {x | -4 ≤ x ≤ 4}
Ra = {y | -4 ≤ y ≤ 4}
5.1B.6

7. Writing the Domain and Range
Do = {x | x ≥ 0}
Ra = { y | y Î R}
5.1B.7

8. Writing the Domain and Range
x ≤ - 2
x ≥ 2
Do = { x | -2 ≥ x ≥ 2}
Ra = {y | y Î R}
5.1B.8

9. Writing the Domain and Range
The locus of this graph
approaches the line of
x = 0 but will never
touch it.
Asymptote
y = 0
It also approaches the
line of y = 0 but will
never touch it.
These lines that
a graph approaches but
never touches are called
asymptotes.
Asymptote
x = 0
This graph will contain
every x and y value except
the asymptotes.
Do = {x | x Î R, x ≠ 0}
Ra = {y | y Î R, y ≠ 0}
5.1B.9