MATH-UA 120 Lecture 5: Linear Piecewise Functions
Document Summary
A function that is composed of some number of linear segments defined over an equal number of intervals. Write function equations for the piecewise whose graph is shown. To the left of x = 0, the graph is part of the line passing through (o2, 0) and (0, 2). An equation of this line is given by: y=x+2. To the right of and including x = 0, the graph is part of the line passing through (0, 0) and (2, 2). An equation of this line is given by: y=x. The equations for the piecewise function are: (0, 2), but (x) = x does correspond to x = 0 because there is a solid dot at (0, 0). Translate up: y= x+ c, when c >0. Translate down: y= x+ c, when c < 0. Translate to the right: y= (x + c), when c < 0. Translate to the left: y= (x + c), when c >0.
