Intro to Functions Study Guide

Write a set of ordered pairs to represent the mapping diagram below.

• (1,2), (2,2), (3,4), (4,4), (5,6), (5,8), 6,6)

• (2,1), (2,2), (4,3), (4,4), (6,5), (6,6), (8,5)

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Does the mapping diagram represent a function?  Explain your reasoning.

• Yes it is a function because every input has only one output.

• No it is not a function because every input has only one output.

• It is not a function because the input of 2 has two outputs.

• It is not a function because the input of 5 has two outputs.

Tags

CCSS.8.F.A.1

Determine whether each relation is a function. Explain your reasoning.

• Yes, it is a function because it passes the vertical line test.

• No, it is not a function because it fails the vertical line test.

• Yes, it is a function because it has curved lines.

• No, it is not a function because it has curved lines.

Determine if the situation represents a function.

• Yes, it is a function because each camp has only one color assigned to them.

• No, because the camps could all have the same color.

• Yes, because camp is super fun!

• No, because each camp could have many colors assigned to them.

Tags

CCSS.8.F.A.1

What is the definition of function? (a)  

• Has inputs and outputs

• Every input has only ONE output

• Inputs have different outputs every time

• x-values and y-values

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CCSS.8.F.A.1

The picture ​ (a)   a function because every ​x ​ (b)   point to exactly one y.

• shows

• does not show

• does

• does not

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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

Does the mapping of these points represent a function? (Note: the left oval represents your x values and the right oval represents your y values)

• Function

• Not a Function

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

Determine if the image represents a function.

• Yes, because each input has only one output.

• No, because each input has only one output.

• Yes, because there are 4 input numbers and 4 output numbers.

• No, because the input of 2 has two different outputs.

Tags

CCSS.8.F.A.1