Power Special Function Name y = x Linear y=x² Quadratic y = x³ Cubic Graph 1 2 2 4x 2 4X Domain Range End Behaviour as X418 End Behaviour as x → ∞
Power Special Function Name y = x Linear y=x² Quadratic y = x³ Cubic Graph 1 2 2 4x 2 4X Domain Range End Behaviour as X418 End Behaviour as x → ∞
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
4
2
I a
2 4x
2
3 4 5
Domain
6
Range
End
Behaviour as
X118
End
Behaviour as
x → ∞0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d7b91a9-5dae-4853-a997-c694c177312e%2Fbfcdbaf2-fb49-41fe-be8f-7a203694657b%2Fizvb9d9_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
4
2
I a
2 4x
2
3 4 5
Domain
6
Range
End
Behaviour as
X118
End
Behaviour as
x → ∞0
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