y = -x^2 + 3   y = \sqrt{x - 3}   y = -3|x|   y = x^3 - 1   y = 2^{x-1}   y = 2^{-x}   y = \text{ln}(x+3)  For each function, write its domain and range. Compare each graph to its parent function (the basic elementary function). Describe how each graph (i – vii) was transformed using the transformational rules.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 14TI: The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14...
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    1.  y = -x^2 + 3 
    2.  y = \sqrt{x - 3} 
    3.  y = -3|x| 
    4.  y = x^3 - 1 
    5.  y = 2^{x-1} 
    6.  y = 2^{-x} 
    7.  y = \text{ln}(x+3) 
  1. For each function, write its domain and range.
  2. Compare each graph to its parent function (the basic elementary function).
  3. Describe how each graph (i – vii) was transformed using the transformational rules.
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