Domain, Range, and Functions

Relations have many input and output values (x and y)​

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Functions have only one input for each output (aka the x values never repeat)​

​Relation and Function

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Mapping​s show the arrows from x to y values

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If two arrows go from one x-value, it is not a function​

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​Mapping

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If you draw a vertical line through any place on the graph and it hits two points​, it is not a function

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​Some text here about the topic of discussion.

​Vertical Line Test

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Domain is all of the INPUTS or X-VALUES​

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Range is all of the OUTPUTS or Y-VALUES​

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​Domain and Range

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Multiple Choice

• Function

• Not a Function

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function

Multiple Choice

All of the x values or inputs are called what?

• Domain
• Range
• Relation
• Function

Multiple Choice

All of the y values or outputs are called what?

• Domain
• Range
• Relation
• Function

Multiple Choice

Is this graph a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Is this graph a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}
• D:{0, 1, 2, -4}
  R:{1, -3, -4}
• D:{0, 1, 2, 3, 4}
  R:{1, -3, -4}

Multiple Choice

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)
• (3,4) (4,-3) (7,4) (3, 8)
• (6,-5) (7, -3) (8, -1) (9, 1)
• (2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}
• D: {-4, 0, 1, 2}
  R:{-4, -3, 1}
• D: {0, 1, 2, 3, 4}
  R:{1, -3, -4}
• D: {0, 1, 2, -4}
  R: {1, -3, -4, 1}

Multiple Choice

• {1, 2, 3, 4, 5}
• {-1, 1, 2, 3}
• {1, 2, 3, 5}
• [1, 5]

Multiple Choice

What variable typically represents the domain?

• x

• y

Multiple Choice

What variable typically represents the range?

• x

• y

Multiple Choice

The set of all the inputs of a relation are called _____.

• domain

• range

Multiple Choice

The set of all the outputs of a relation are called _____.

• domain

• range

Multiple Choice

What is the domain?

• {-6, 14, 2, 28}

• {(-6,14), (0,32), (2,38), (4,44)}

• {-6, 0, 2, 4}

• {14, 32, 38, 44}

Multiple Choice

What is the range?

• {-7, 5, -2, -4}

• {-2, 5, 7}

• {-4, 3, 6}

• {-3, -6,-4}

Multiple Choice

What is the domain?

• {-2, -1, 0, 1, 8}
• {3, 5, 7 , 9, 0}
• {-2, -1, 0, 1, 3, 5, 7, 8, 9}
• {-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Multiple Choice

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this set of ordered pairs a function or not a function? 

• Function
• Not a Function