Name Group # Math 115 Fall 2019 Topic 4: Transformations Problem 1-Transformations of the Absolute Value Function: For each part below, the table of values and the graph for f(x) = lxl is given. Complete the table and sketch the graph for the given function, and compare it to function f. a. Complete the table for the function g(x) = lxl +2. Then sketch its graph. l | f(x)= lx g(x)= lxl + 2 X 0 0 1 1 2 3 3 1 -1 -2 2 3 -3 How does the graph of g (x) compare to the graph of f(x)? b. Complete the table for the function j(x) = lx + 21. Then sketch its graph. j(x) = |x + 21 f(x) = |x x 0 0 1 1 2 3 3 1 -1 2 -2 3 -3 How does the graph of /(x) compare to the graph of f (x)? p. 14 2/ N 2

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