Worksheet piecewise functions scarsdale middle school. For problems 112, evaluate the function for the given values of. Ratio and proportion worksheets grade one of the many poems activities guided notes assessments and. Worksheet given in this section is much useful to the students who would like to practice problems on piecewise defined functions. A piecewise function is just a function that uses more than one equation to describe its behavior. Write a piecewise function describing your weekly pay, p in term of the number of hours worked, h. Resources academic maths calculus functions piecewise functions worksheet. Students graph each piecewise function the functions are given on a slip of paper, iden. For problems 112, evaluate the function for the given. Then, evaluate the graph at any specified domain value. Worksheets are piecewise functions date period, work piecewise functions, algebra 2 yl graphing piecewise functions work if, work homework piecewise functions name, math 2 name piecewise functions work 2 graph each, graphing piecewise functionsv1, work piecewise functions name algebra 2, graphing absolute value functions date period. Piecewise functions puzzle linear, absolute value, and quadratic functions this cutout puzzle was created to help students practice graphing a piecewise function along with identifying its domain and range. When we graph piecewise functions, we are really graphing different pieces of. Worksheet by kuta software llc kuta software infinite precalculus piecewise functions.
Looking back at the inequalities, darken in the functions between the vertical lines. A piecewise function is a function represented by two or more functions, each corresponding to a part of the domain. Solution to the left of x 0, the graph is part of the line passing through. On graphing piecewise functions to graph a piecewise function, it is a good idea to follow these steps.
You may use your calculators to help you graph, but you must sketch it carefully on the grid. For problems 112, evaluate the function for the given values of x. Some questions are open to interpretation as to what terms to. Worksheet to introduce piecewise functions including finding domain and range, increasing or decreasing. The students will be able to graph a piecewise function using only linear components. Piecewise functions and the mathematics teaching practices cowritten with kyle eller wheaton warrenville south high school. A step function is discontinuous cannot draw a step function without removing your pencil from your paper. The extensive applications of piecewise functions are used in a variety of mathematical formulas. Worksheet piecewise functions scarsdale public schools. Mathematics ii unit 5 step and piecewise functions part 1.
Algebra piecewise functions exercise and solutions how to. I can write and graph piecewise definied functions. The students will practice answering graphical analysis questions focus on absolute value questions, including operations with two functions on the same set of axes. The formula for each piece of the function is applied to certain values of the domain, as specified in the definition of the function. When we graph piecewise functions, we are really graphing different pieces of different lines. In many reallife problems, however, functions are represented by a combination of equations, each corresponding to a part of the domain. Piecewise functions representing piecewise functions up to now in this chapter a function has been represented by a single equation.
You may use your calculators to help you graph, but you must sketch it carefully on the. Sum it up when writing piecewise functions from a word problem, not only must we create equations but also identify domain restrictions. When students receive the writing piecewise worksheet, i will ask a student to read the first part of the worksheet to make sure the directions are clear. Graph the function x y work in your groups on the rest of the worksheet. A piecewise function is a function that is defined by two or more equations over a specific interval. Before look at the worksheet, if you would like to know the stuff related to piecewise functions. I can find the domain and range of a piecewise defined function.
The students will be able to graph a piecewise function. Worksheet function worksheet algebra 1 10x10 coordinate plane. Download it in pdf format by simply entering your e. This lesson quiz and worksheet form a complementary pair of resources.
Evaluate the following using the given piecewise function. Model effective teaching practices from principles to actions 4. Worksheets are piecewise functions date period, work piecewise functions, math 2 name piecewise functions work 2 graph each, supplement 1, work homework piecewise functions name, work piecewise functions, piecewise functions, algebra 2 yl graphing piecewise functions work if. Work session students will work in pairs to complete putting the pieces together part 1. Sketch an accurate graph of this piecewise function c. Algebra 1 ch 5 notes and calendar piecewise functions. This warmup activity allows students to revisit their working definition of a function seeing that you cannot have two distinct yvalues for one xvalue. Precalculus honors graph the following piecewise functions. Piecewise functions and the mathematics teaching practices. Piecewise functions includes graphing available in. A step function or staircase function is a piecewise function containing all constant pieces. Page 1 of 2 114 chapter 2 linear equations and functions piecewise functions representing piecewise functions up to now in this chapter a function has been represented by a single equation.
Can we write a single function that summarizes amys distance vs. Marking lightly, graph all the functions which are given for f. Preap algebra 2 lesson 16 piecewise functions objectives. Piecewise functions worksheet by mr slope guy teachers pay. Students will complete the graphing piecewise function worksheet. In many reallife problems, however, functions are represented by a combination of. This worksheet is a compilation of scenarios of piecewise functions. Piecewise linear functions displaying top 8 worksheets found for this concept some of the worksheets for this concept are piecewise functions date period, lesson 1 graphs of piecewise linear functions, work homework piecewise functions name, mathematics ii unit 5 step and piecewise functions part 1, graphing piecewise functionsv1, mat140 section work on. Piecewise functions ws evaluate the function for the given value of x.
Piecewise functions and the mathematics teaching practices cowritten with kyle eller wheaton warrenville south high school fred dillon ideastream. Such functions are called for example, the piecewise function given by. Then, i will have students work in groups to determine the answers to the activity. Introduction to piecewise functions on every mathematical level, one of the key. Click on popout icon or print icon to worksheet to print or download. Write a piecewise function to represent individual cost of a tshirt as function of. Piecewise activity you may work in groups of up to 3 people. Graphing piecewise functions worksheet teachers pay teachers. The sat is the main standardized test that colleges look at for. Displaying all worksheets related to piecewise functions and answers. Then, evaluate the graph at the specified domain values. Notes will be taken off of the videos discussed under classwork.
A function whose rule includes more than one formula. How can we use piecewise functions to solve word problems. Worksheet piecewise functions elegant worksheet piecewise worksheet piecewise functions elegant worksheet piecewise functions answers worksheets of. Brust wants to make tshirts for his algebra 2 students shown below.
During a snowstorm, a meteorologist tracks the amount of. Notes piecewise functions if we want a function to behave differently depending on the x values, we need a piecewise function. Draw a dotted vertical line for each of these values. There will be one finished product turned in per group with all the names below listed. After teaching how to graph piecewise and writing piecewise functions given a graph, i used this sheet to teach how to read a scenario and write a piecewise function. The constant pieces are observed across the adjacent intervals of the function, as they change value from one interval to the next. Each of these three functions is paired with an interval that appears on the right side of the same line as. A piecewise function is called piecewise because it acts differently on different pieces of the number line.
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