About Function Definition:
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
#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)}
b){(5,-8),(5,6),(3,1),(7,4)}
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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)}
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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)}
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Written Solutions:
#1:
Solutions:
a) Function
b) Not a Function
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#2:
Solutions:
a) Function
b) Function
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#3:
Solutions:
a) Function
b) Not a Function
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#4:
Solutions:
a) Function
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#5:
Solutions:
a) Not a Function
