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Piecewise Functions

F(x) =

{x if 0<= x <=1}

{2-x if 1< x <=2}

{0 if x > 2}

Define a new function g, whose domain consists of all numbers x such that 0 &#8804; x &#8804; 4, and whose value g(x) for such x is given as follows:

g(x) = the area between the graph of the function f and the horizontal axis from 0 to x.

Problem: Find a formula for the function g.

Solution Summary

A Piecewise Function is investigated.