Domain And Range Of Piecewise Functions Worksheet With Answers Piecewise the piecewise Functions f nction to evaluate the following 8 2 3 3 6 b 2 Graph the following piecewise function d 3 NUMERICALLY Use the piecewise function to fill in the table 4 GRAPHICALLY Sully s blood pressure changes throughout the school day
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 Finding Domains and Ranges of the Toolkit Functions We will now return to our set of toolkit functions to determine the domain and range of each Figure 2 3 12 Constant function f x c For the constant functionf x c the domain consists of all real numbers there are no restrictions on the input
Domain And Range Of Piecewise Functions Worksheet With Answers
Domain And Range Of Piecewise Functions Worksheet With Answers
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Worksheet Piecewise Functions
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Question Video Determining The Domain And The Range Of A Piecewise
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Piecewise Functions MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Answer Key Testname PIECEWISE FUNCTIONS 1 D 2 C 3 D 4 A 5 B 6 D 7 D 3 Title Domain and Range of a Function tst Created Date 9 5 2019 1 37 31 AM The same applies to the vertical extent of the graph so the domain and range include all real numbers Figure 18 For the reciprocal function f x 1 x f x 1 x we cannot divide by 0 so we must exclude 0 from the domain Further 1 divided by any value can never be 0 so the range also will not include 0
Graph this piecewise function f x left begin array ll x 1 x 2 2 x 3 x geq 2 end array right This page titled 2 3 1 Domain and Range Exercises is shared under a CC BY 4 0 license and was authored remixed and or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform 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
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In this activity students practice finding the domain and range of piecewise functions They begin with an informal exploration of domain and range using a graph and build up to representing the domain and range of piecewise functions using inequalities This activity was adapted from Domain and Range Practice by Suzanne von Oy https 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
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
Solved Determine The Domain And Range Of The Piecewise Chegg
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Domain And Range Of Piecewise Functions Worksheet With Answers - Piecewise Functions MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Answer Key Testname PIECEWISE FUNCTIONS 1 D 2 C 3 D 4 A 5 B 6 D 7 D 3 Title Domain and Range of a Function tst Created Date 9 5 2019 1 37 31 AM