Piecewise Functions Domain And Range Worksheet 10 Write a rule for the function shown f x x x x x x Create your own worksheets like this one with Infinite Precalculus Free trial available at KutaSoftware
Piecewise Functions MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Find the requested value 1 f 3 for f x 3x if x 1 x 2 if x 1 Domain and Range of a Function tst Created Date 9 5 2019 1 37 31 AM Graph the function Describe the domain and range 7 y 8 x 1 x if x 0 if x 0 y x 2 4x if x 0 if x 0 Writing a Piecewise Function Write a piecewise function for the graph SOLUTION Each piece of the function is linear Left Piece When x 0 the graph is the line given by y x 3
Piecewise Functions Domain And Range Worksheet
Piecewise Functions Domain And Range Worksheet
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Worksheet Piecewise Functions Algebra 2 Answers Db excel
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Worksheet Piecewise Functions
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For problems 1 12 evaluate the function for the given values of x Evaluate the greatest integer Part IV Match the piecewise function with its graph Graph each piecewise function Then find the domain and range for each piecewise function 4 5 6 2 Graph the piecewise function and find the domain and range 3 Write the piecewise function for the following graph 4 Graph the function 5 Write each absolute value function as a piecewise function Hint Graph first
For many functions the domain and range can be determined from a graph An understanding of toolkit functions can be used to find the domain and range of related functions A piecewise function is described by more than one formula A piecewise function can be graphed using each algebraic formula on its assigned subdomain In its simplest form the domain is all the values that go into a function and the range is all the values that come out Sometimes the domain is restricted depending on the nature of the function f x x 5 here there is no restriction you can put in any value for x and a value will pop out f x 1 x here the domain is restricted
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5 Graph each formula of the piecewise function over its corresponding domain Use the same scale for the x axis and y axis for each graph Indicate inclusive endpoints with a solid circle and exclusive endpoints with an open circle Use an arrow to indicate endpoints of or Combine the graphs to find the graph of the piecewise function The domain of a function is the set of all input values of the function The range of a function is the set of all possible outputs of the function given its domain The domain tells us all of the inputs allowed for the function For example since we cannot input 0 into the function 1 as it would be undefined
Graphing Piecewise Functions Both of the following notations can be used to describe a piecewise function over the function s domain f x 5 2x 2 6 5 2 if if or f x 2 6 5 2 d d d x x 3 Complete the following table of values for the piecewise function over the given domain x f x 5 3 0 1 1 7 1 9 2 2 2 4 6 4 Practice Getting the Domain and Range from the Graph of a Piecewise Function with practice problems and explanations Get instant feedback extra help and step by step explanations
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Piecewise Functions Domain And Range Worksheet - In its simplest form the domain is all the values that go into a function and the range is all the values that come out Sometimes the domain is restricted depending on the nature of the function f x x 5 here there is no restriction you can put in any value for x and a value will pop out f x 1 x here the domain is restricted