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