Graph Sketching Flashcards

1
Q

what are the characteristics of y^2 graphs?

A
  1. any areas below the x axis will cease to exist
  2. below 1: become more pushed out and rounded because the square root of numbers less than zero are greater than the actual number.
  3. above 1: the graph will get flattened out because teh square root will produce smaller original values
  4. from these remains everything is reflected in the x axis
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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

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3
Q

Sketch the following graphs

A
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4
Q

Sketch the following graphs

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5
Q
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6
Q

Sketch

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7
Q

Sketch

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8
Q

Sketch

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9
Q

Sketch

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10
Q

Sketch

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11
Q

Sketch

A
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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

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13
Q

What does the graph y= |f (x)| do ?

A
  1. Reflect anything that was under the x axis
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14
Q
A
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15
Q
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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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Eclipse shape

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