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Warm-up 3/4/2013 Complete an x-y table for each and sketch the graphs. Write several sentences describing and comparing each function. f(x) = x f(x) = x – 1 f(x) = 2x – 1. p. 73 MCC9-12.F.BF.3

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## f(x) = x f(x) = x – 1 f(x) = 2x – 1

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**Warm-up 3/4/2013**Complete an x-y table for each and sketch the graphs. Write several sentences describing and comparing each function. • f(x) = x • f(x) = x – 1 • f(x) = 2x – 1**p. 73 MCC9-12.F.BF.3**Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graphusing technology. Include recognizing even and odd functionsfrom their graphs and algebraic expressions for them.**Transformations of linear graphs**Topic: What is it? Shifting, stretching, shrinking, and reflecting of graphs Vertical or Horizontal shift Vertical Stretch or Shrink Types: Reflection Add outside Multiply by Fraction (less than 1) Multiply by negative (-) MOVES _______________ Causes the graph to _____________________ _____________________ Causes the graph to ____________________ Subtract outside MOVES _______________ Examples Multiply by integer Add inside Causes the graph to ____________________ MOVES _____________ Subtract inside MOVES _____________**Transformations of exponential graphs**Topic: What is it? Shifting, stretching, shrinking, and reflecting of graphs Vertical or Horizontal shift Vertical Stretch or Shrink Types: Reflection Add outside Multiply by Fraction (less than 1) Multiply by negative (-) MOVES _______________ Causes the graph to _____________________ _____________________ Causes the graph to ____________________ Subtract outside MOVES _______________ Examples Multiply by integer Add inside Causes the graph to ____________________ MOVES _____________ Subtract inside MOVES _____________

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