Exploring Functions, Relations, Domain, and Range

The video tutorial introduces the concepts of relations and functions, explaining the difference between them. It uses examples to illustrate how to identify functions, emphasizing that each x-value must have a unique y-value. The vertical line test is introduced as a method to determine if a relation is a function. The tutorial also includes a real-world example to demonstrate non-function relations, concluding with a brief overview of future topics like inverse functions.

What is the term used to describe the set of all possible input values in a relation?

• Range

• Domain

• Function

• Relation

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

In a function, what must be true for every x value?

• It must have a unique y value

• It must be greater than zero

• It must be less than ten

• It must have the same y value

Tags

CCSS.8.F.A.1

Which of the following pairs of points indicates that a relation is not a function?

• (0,1) and (1,2)

• (1,2) and (2,4)

• (1,2) and (1,4)

• (2,4) and (3,6)

Tags

CCSS.8.F.A.1

What test can be used to determine if a relation is a function?

• Horizontal line test

• Parallel line test

• Vertical line test

• Diagonal line test

What does it mean if a vertical line intersects a graph at more than one point?

• The relation is not a function

• The relation is a function

• The relation is quadratic

• The relation is linear

In the example given, why is the relation with pairs (1, B) and (5, A) considered a function?

• Because each x value has a unique y value

• Because 1 and 5 are different

• Because B and A are different

• Because it passes the horizontal line test

Tags

CCSS.8.F.A.1

Why is the relation with pairs (5, A) and (5, B) not considered a function?

• Because it passes the vertical line test

• Because 5 is repeated

• Because it is a linear relation

• Because A and B are different

Tags

CCSS.8.F.A.1

In an arrow chart, what indicates that a relation is not a function?

• Each domain element points to a unique range element

• A domain element points to multiple range elements

• Each range element points to a unique domain element

• A range element points to multiple domain elements

Tags

CCSS.8.F.A.1

In the real-world example, why is the relation between Mr. G and his students not a function?

• Because each student has multiple teachers

• Because Mr. G is not a domain element

• Because each student has a unique teacher

• Because Mr. G has multiple students

Tags

CCSS.8.F.A.1

What will the next set of tutorials cover?

• Inverse of a function

• Polynomial functions

• Linear functions

• Quadratic functions

Tags

CCSS.HSF-BF.B.4A