Lab 4 Pre-Calculus - Library of Functions & Transformations.

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7. Use the graph to write out the new function after the transformation

For each Function below, a) Write the parent function - use function notation (not words) b) Describe the transformation that takes place in words 1. f(x)= rm a) b) 2. g(x)=x3+4 a) b) 3. f(x)= —(2c-1)2 a) b) 4. j(x)=4¢3c a) b) 5. f(x)=|x+3|-5 a) b) 6. g (x) = go — 2)3 a) b)

Lab 4 Pre-Calculus — Library of Functions & Transformations. Type of Equation Domain in Interval Range in Interval Even, Odd, or Sketch of Graph Function Notation Notation Neither Absolute for) = | 1| Value Square Root f0!) = J; Cube Root f (I) = V; Rational f (I) = —

Complete the following table. Type of Function Equation for) = c where c is any constant Domain in Interval Notation Range in Interval Notation Even, Odd, or Neither Sketch of Graph Linear f0! = x Quadratic for) = 12 Cubic f (I) = 13

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