Piecewise functions lesson plan for 8th 12th grade. This product includes a do now activity, worksheet, and homework worksheet for introduction to piecewise functions. Click on popout icon or print icon to worksheet to print or download. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the. Analyzing piecewise functions x y4 2 2 4 6 8 1042 2 4 0 use the graph of y fx and the table of values to answer the questions. Introduction to piecewise functions algebra video khan academy. Rewrite the equation without the absolute value as a piecewise function.
What is the total area enclosed by the graph of fx and the xaxis. Classify each of the geometric figures formed between the graph of fx and the xaxis. Swbat create piecewise functions to describe realworld situations. The range of a function is the set of all possible real output values, usually represented by y. O 02 k0fv wk2u9t eaf js yoaf gtdw ia hr 3eh 7l 5l 8cx. Evaluating piecewise functions showing top 8 worksheets in the category evaluating piecewise functions. See graphing piecewise functions in the nmsi tinspire skill builders. Use simple real world situations to generate piecewise functions. This is one scenario where piecewise functions are used in reallife. This packet included 5 worksheets with keys 2 evaluating piecewise functions from the equations and from the graphs. Solution to the left of x 0, the graph is part of the line passing through. Create your own worksheets like this one with infinite precalculus.
High school students solve the exercises found in these evaluating piecewise function worksheets to bolster skills. A piecewise function is a function defined by two or more expressions, where each expression is associated with a unique interval of the functions domain. Choose your answers to the questions and click next to see the next set of questions. Big idea working in teams, students explore piecewise functions in this selfpaced activity that emphasizes. Brett has contributed a great piecewise function lesson. Then, evaluate the graph at any specified domain value. In my own curriculum, i concentrate on piecewise linear functions. Find the zeroes of the expression inside of the absolute value.
Swbat evaluate a piecewise function, graph piecewise and step functions, and write the equation of the graph of a piecewise or step function. Piecewise functions ws evaluate the function for the given value of x. But, we have been seeing multiple piecewise functions show up on the new york state cc algebra i exam that have various types of functions in them. Make sign chart of the expression inside the absolute value. Learners investigate how to use piecewise functions to describe various situations in everyday life. Worksheet piecewise functions evaluate the following for 2 35, 4,4 xx fx xx. The domain of a function is the set of all possible real input values, usually represented by x. However, you must earn the right to retake by completing the reteach worksheets assigned. In this activity, students match a piecewise defined function to its graph, and in the process they find the answer to a joke. Introduction to piecewise functions algebra help, 9th. Piecewise and composite functions chapter exam instructions.
They explore scenarios such as the intensity of workout routines, the rise and decline of reported cases of malaria, and the varying rate of two hikers on a camping trail. You might also like some of these other piecewise function materials. Piecewise bundle pack my other piecewise defined function activity and worksheets step function. Worksheet piecewise functions scarsdale public schools. Piecewise functions evaluate the function for the given value of x.
In this lesson well be covering how to setup piecewise defined functions based on story problems. In my own belief, this is the extent to which we should cover piecewise. Also, all homework must have a score of 80% or higher and the student must have complete notes in their notebook. Write a piecewise function that gives the admission price for a given age. This piecewise functions lesson plan is suitable for 8th 12th grade. Worksheets are evaluating piecewise functions work pdf, piecewise functions date period, work homework piecewise functions name, 7 functionswork, work piecewise functions, evaluating functions date period, piecewise functions, concept 22 evaluating functions. A piecewise function is a function built from pieces of different functions over different intervals. Some of the worksheets displayed are evaluating piecewise functions work pdf, piecewise functions date period, work homework piecewise functions name, piecewise functions, lesson practice b 6 3 piecewise functions, piecewise functions, work piecewise functions, evaluating functions date period. For problems, evaluate each piecewise function at the given values of the independent variable. Suggested modifications for additional scaffolding include the following. Worksheet to introduce piecewise functions including finding domain and range, increasing or decreasing. Algebra 1 ch 5 notes and calendar piecewise functions.
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