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Introduction to Functions Test
About Introduction to Functions:

A relation is any set of ordered pairs (x,y). A function is a special type of relation where there is a one to one correspondence. Each first component or x value corresponds to or is linked to exactly one second component or y value. Many times we hear this read as ‘for each x, there can be only one y’.

Test Objectives:

•Understand the definition of a relation

•Understand the difference between domain and range

•Demonstrate the ability to determine if a relation represents a function

Introduction to Functions Test:




#1:


Instructions: Determine if each relation is a function, then list the domain and range.


a) {(3,2), (1,-7), (8,-6), (2,3), (0,5)}


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#2:


Instructions: Determine if each relation is a function, then list the domain and range.


a) {(6,3), (1,7), (6,-2)}


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#3:


Instructions: Determine if each relation is a function, then list the domain and range.


a) {(-1,0), (-2,3), (7,-8), (1,0)}


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#4:


Instructions: Determine if each relation is a function, then list the domain and range.


a) {(-20,5), (32, 10), (-20,7), (8,6)}


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#5:


Instructions: Determine if each relation is a function, then list the domain and range.


a) {(-3,5), (7,-1), (0,15), (6,2)}


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Written Solutions:




#1:


Solution:


a) Yes - this relation is a function


domain = {3,1,8,2,0}


range = {2,-7,-6,3,5}


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#2:


Solution:


a) No - this relation is not a function


domain = {6,1}


range = {3,7,-2}


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#3:


Solution:


a) Yes - this relation is a function


domain = {-1,-2,7,1}


range = {0,3,-8}


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#4:


Solution:


a) No - this relation is not a function


domain = {-20,32,8}


range = {5,10,7,6}


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#5:


Solution:


a) Yes - this relation is a function


domain = {-3,7,0,6}


range = {5,-1,15,2}


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