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Introduction to Functions Test
About Introduction to Functions:

A relation is any set of ordered pairs (x,y). A relation where each first component or x value corresponds to exactly one and only one second component or y value is called a function. In other words, each x value can only be associated or linked to exactly one y value.

Test Objectives:

•Demonstrate an understanding of a relation

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

•Demonstrate the ability to find the domain and range of a function

Introduction to Functions Test:




#1:


Instructions: Determine if each relation is a function.


a) {(-6,-3),(2,4),(7,1),(8,9)}


b) {(-2,6),(3,4),(3,-1),(7,-11)}


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#2:


Instructions: Determine if each relation is a function.


a) {(-1,-1),(3,7),(8,-8),(6,4)}


b) {12,3),(6,9),(9,6),(1,4)}


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#3:


Instructions: Determine if each relation is a function.


a) {(2,1),(17,6),(9,6),(-4,8)}


{(2,1),(17,6),(9,6),(-4,8)} shown with a picture

b) {(5,-8),(5,6),(3,1),(7,4)}


{(5,-8),(5,6),(3,1),(7,4)} shown with a picture
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#4:


Instructions: Use the vertical line test to determine if each relation is a function.


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


vertical line test with points (-1,7),(1,1),(3,0),(2,-3),(7,5)
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#5:


Instructions: Use the vertical line test to determine if each relation is a function.


a) {(-3,7),(-3,2),(-1,3),(1,1),(2,3),(4,6),(6,1),(6,-2)}


vertical line test with points (-3,7),(-3,2),(-1,3),(1,1),(2,3),(4,6),(6,1),(6,-2)
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Written Solutions:




#1:


Solution:


a) Function


b) Not a Function


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#2:


Solution:


a) Function


b) Function


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#3:


Solution:


a) Function


b) Not a Function


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#4:


Solution:


a) Function


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#5:


Solution:


a) Not a Function


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