domain and range piecewise functionand
A step by step tutorial on graphing and sketching piecewise functions. The graph, domain and range of these functions and other properties are examined. Free graph paper is available. Definition of Piecewise Functions. A piecewise function is usually defined by more than one formula: a fomula for each interval.
Vertex: the point 0,0 unless domain is altered. Average rate of change: is constant on each straight line section ray of the graph. A step function or staircase function is a piecewise function containing all constant "pieces". The constant pieces are observed across the adjacent intervals of the function, as they change value from one interval to the next. A step function is discontinuous not continuous. You cannot draw a step function without removing your pencil from your paper.
Learn more about this. Students are asked to graph a step function, state the domain of the function, and name any intercepts. The student provides a graph that is unrelated to the algebraic description of the function. The student confuses the use of open and closed dots. Guide the student through each part of the function definition explaining its meaning and sketching its graph. Explain the convention of graphing endpoints of open intervals as open dots and endpoints of closed intervals as closed dots.
Notice that we can use the data to create a function of the amount each movie earned or the total ticket sales for all horror movies by year. In creating various functions using the data, we can identify different independent and dependent variables, and we can analyze the data and the functions to determine the domain and range. In this section we will investigate methods for determining the domain and range of functions such as these. Figure 1. Based on data compiled by www.
Domain and Range Restrictions
How to find the domain and range of a piecewise function graph