Foundations For Functions

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High School Diploma Algebra 2 (Chap. 1 Foundations For Functions ) Mind Map on Foundations For Functions, created by Rachel Osborne on 12/10/2015.
Rachel Osborne
Mind Map by Rachel Osborne, updated more than 1 year ago
Rachel Osborne
Created by Rachel Osborne about 9 years ago
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Foundations For Functions
  1. Properties & Operations
    1. Interval Notation
      1. ( ) means closed set
        1. [ ] means included in set
          1. Don't include infinity in [ ]
          2. { } means "set of"
          3. Operations
            1. Additive Inverse (opposite on number line)
              1. Multiplicative Inverse (reciprocal)
                1. Only if non-zero
              2. Square Roots
                1. When Sq. root is in the denominator undo by mult. by form of 1
              3. Introduction to Functions
                1. Relation = pairing of input values w/ output values
                  1. Domain = set of input values (x-coordinates)
                    1. Range = set of output values (y-coordinates)
                      1. Function = relation in which there is only 1 output for each input
                      2. Transformation = Change in position, size, or shape
                        1. Reflection = transformation that flips figure across line of reflection
                          1. Compression/stretching = multiply
                            1. Translation = Transformation that moves each point in a figure same distance in same direction
                            2. Parent Functions
                              1. A parent function is the simplest function
                                1. f(x)=x cu. ; cubic
                                  1. f(x)=c ; constant
                                    1. f(x)=x ; linear
                                      1. f(x)=sq. root x ; Sq. root
                                        1. f(x)= x sq. ; quadratic
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