College Algebra!

Checkpoint Quiz 2.2

Name:

1. Let f (x) = 2|x|− |x − 3|.

(a) Use the definition of absolute value to rewrite f as a piecewise-defined function.

(b) Graph y = f (x). Find the zeros of f and the x- and y-intercepts of the graph. From the graph, determine the domain and range of f , list the intervals on which f is increasing, decreasing, or constant, and find the relative and absolute extrema, if they exist.