Graph Sketching Flashcards
1
Q
what are the characteristics of y^2 graphs?
A
- any areas below the x axis will cease to exist
- below 1: become more pushed out and rounded because the square root of numbers less than zero are greater than the actual number.
- above 1: the graph will get flattened out because teh square root will produce smaller original values
- from these remains everything is reflected in the x axis
2
Q
How do you sketch mod function graphs?
A
When x is greater than zero, it does nothing- function continues as normal.
When x is less than zero, then the modulus acts as a minus machine
3
Q
Sketch the following graphs
A
4
Q
Sketch the following graphs
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5
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6
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Sketch
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7
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Sketch
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8
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Sketch
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9
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Sketch
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10
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Sketch
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11
Q
Sketch
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12
Q
What does the graph y= f( |x| ) do?
A
Removes the left half of the y axis.
Reflects the remaining right half into the y axis
13
Q
What does the graph y= |f (x)| do ?
A
- Reflect anything that was under the x axis
14
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15
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16
Q
what are the rules/ way of viewing the modulus function?
eg: |x|
A
- if x is positive then the modulus does nothing –> |x|= x
- if x is negative then the modulus acts as a -1( ) —> |x|= -x
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24
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25
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26
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27
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28
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29
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30
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Eclipse shape
31
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32
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36
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37
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