Identifying the Different Types of Functions

When graphed on the coordinate plane, a two-variable equation is a function iff its graph passes the...

• Vertical Line Test

• Horizontal Line Test

• Converging Arrows Test

• Diverging Arrows Test

Which of the mapping diagrams below represent functions? Check all that apply.

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Tags

CCSS.8.F.A.1

Which of the graphs below represent functions? Check all that apply.

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Tags

CCSS.8.F.A.1

Function or not? (a)  

Domain =​ (b)  

Range =​ (c)  

• Function

• Not a Function

• {-5, -2,  2}

• {-4, 1. 3}

Answer explanation

The relation is not a function because it assigns multiple outputs to at least one input. The domain is {-5, -2, 2} and the range is {-4, 1, 3}, confirming the correct choices.

Tags

CCSS.8.F.A.1

Function or not? (a)  

Domain =​ (b)  

Range =​ (c)  

• Function

• Not a Function

• {-5, -2,  2}

• {-4, 1. 3}

• { 3, 1, -4, }

• { 2, -2, -5 }

• Undefined

Answer explanation

The relation is not a function because it assigns multiple outputs to at least one input. The domain is {-5, -2, 2} and the range is {-4, 1, 3}, confirming the correct choices.

Tags

CCSS.8.F.A.1

Does the following mapping diagram represent a function? Explain why or why not.

• Yes, each input has at least one output

• No, 40 has two different outputs.

• Yes, each output has at least one input

• No, 2 and 5 each have two different inputs.

Tags

CCSS.8.F.A.1

Does this scatter plot represent a function? Explain why or why not.

• Function: Each input has at least one output.

• Not a function: 2 has two different outputs.

• Function: Each output has at least one input.

• Not a function: -1 and 1 both have two different inputs.

Tags

CCSS.8.F.A.1

Does this graph represent a function? Explain why or why not. [Hint: look carefully at the dots.]

• Yes, each input has exactly one output.

• No, there are infinite inputs with an output of 2.

• No, 3 has two different outputs.

• No, the graph does not have a consistent slope.

Tags

CCSS.8.F.A.1

Consider the graph. Which of the following are true statements about the equation represented by the graph? Check all that apply.

• It is a function

• It is not a function

• An input of 1 has an output of 1

• An input of 1 has an output of 3

• An input of 2 has an output of 2