Identifying Functions from Relations PDF

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Identifying Functions from Relations To help you with your project...

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ALEKS

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Relation 1

Relation 2

Function

Function

Not a Function

Not a Function

Relation 3

Relation 4

Function

Function

Not a Function

Not a Function

ALEKS

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Relation 1 is shown with arrows. Each arrow gives an ordered pair. For example, the arrow from desk to gives the ordered

Relation 1

pair (desk, ). Notice that we can find an element in the domain that has more than one arrow coming from it. For example, desk has more than one arrow coming from it. This means that we can find two ordered pairs with desk as their first component: (desk, ) and (desk, ) both have desk as their first component. So, Relation 1 is not a function.

Relation 2 also is shown with arrows. Again, each arrow gives an ordered pair. For example, the arrow from z to gives the

Relation 2

ordered pair (z, ). Notice that we can find an element in the domain that has more than one arrow coming from it. For example, s has more than one arrow coming from it. This means that we can find two ordered pairs with s as their first component: (s, ) and (s, ) both have s as their first component. So, Relation 2 is not a function.

Relation 3 is the following set of ordered pairs. ( , ), ( , ), ( , ), ( , ) Notice that no two ordered pairs have the same first component. So, Relation 3 is a function. Relation 4 is the following set of ordered pairs. (z, m), (m, r), (z, w), (z, k) We can find two ordered pairs with the same first component: (z, m) and (z, w) both have z as their first component. So, Relation 4 is not a function.

ALEKS

https://www-awu.aleks.com/alekscgi/x/Isl.exe/1GhYZ-823-w9cUI7BU

Relation 1

Relation 2

Function

Function

Not a Function

Not a Function

Relation 3

Relation 4

Function

Function

Not a Function

Not a Function...