Example 2: Below are the graphs of common power functions. Use the graph to complete the table. Power Special Function Name y = x Linear y = x² Quadratic Graph () 2 Domain Range End Behaviour as X118 End Behaviour as x48
Example 2: Below are the graphs of common power functions. Use the graph to complete the table. Power Special Function Name y = x Linear y = x² Quadratic Graph () 2 Domain Range End Behaviour as X118 End Behaviour as x48
Chapter3: Functions
Section3.6: Absolute Value Functions
Problem 38SE: Cities A and B are on the same east-west line. Assume that city A is located at the origin. If the...
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![Interval Notation
relation to real-number values. Sets of real numbers may be described in a variety of ways:
In this course, you will often describe the features of the graphs of a variety of types of functions in
1) as an
inequality -3 < x≤5
2) interval (or bracket) notation (-3,5]
3) graphically
on a number line
Note:
Intervals that are infinite are expressed using.
y = x
A
Power
Function
or
indicate that the end value is included in the interval
indicate that the end value is NOT included in the interval
bracket is always used at infinity and negative infinity
Example 2: Below are the graphs of common power functions. Use the graph to complete the table.
Special
Name
Linear
y = x² Quadratic
y = x³ Cubic
M
Graph
-20
-6 -5 -4 -3 -2 -1 0
+
r
en
2
3 4 5
2 4x
6
Domain Range
End
Behaviour as
X118
End
Behaviour as
x → ∞0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf2d15a3-f284-443d-9965-fd3fd1b2b8c4%2F7e9e123f-ab94-43ae-9ca6-9be275b082b1%2Ffpzmnao_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Interval Notation
relation to real-number values. Sets of real numbers may be described in a variety of ways:
In this course, you will often describe the features of the graphs of a variety of types of functions in
1) as an
inequality -3 < x≤5
2) interval (or bracket) notation (-3,5]
3) graphically
on a number line
Note:
Intervals that are infinite are expressed using.
y = x
A
Power
Function
or
indicate that the end value is included in the interval
indicate that the end value is NOT included in the interval
bracket is always used at infinity and negative infinity
Example 2: Below are the graphs of common power functions. Use the graph to complete the table.
Special
Name
Linear
y = x² Quadratic
y = x³ Cubic
M
Graph
-20
-6 -5 -4 -3 -2 -1 0
+
r
en
2
3 4 5
2 4x
6
Domain Range
End
Behaviour as
X118
End
Behaviour as
x → ∞0
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