Understanding Relations and Functions

Given the relation described, identify the input and output:

Mr. Jones wants to find out the price of the same stereo speaker sold at different stores.

Input: ​ (a)   ​

Output: ​ (b)  

• Stereo speaker
• Price of the stereo speaker at each store
• Mr. Jones
• The store

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Given the relation described, identify the input and the output:

Five students, Julia, Sean, Brandon, Vijay, and Riley, have different heights. Their teacher wants to record their heights.

Input: ​ (a)  

Output: ​ (b)  

• Name of student
• Height of student
• The number of students
• The teacher

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

True or false: In a relation, either the inputs or the outputs must be numbers

• True

• False

Answer explanation

In a relation, the inputs and the outputs do not need to be numbers.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

True or false: A function is a type of relation.

• True

• False

Answer explanation

A function is a type of relation that maps each input to exactly one output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

True or false: All relations are functions.

• True

• False

Answer explanation

One-to-many and many-to-many relations are not functions.

Tags

CCSS.8.F.A.1

• Function
• Not a Function

Tags

CCSS.8.F.A.1

• Function
• Not a Function

Tags

CCSS.8.F.A.1

• Function
• Not a Function

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

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)

Tags

CCSS.8.F.A.1