The video tutorial introduces the concept of functions, explaining how to identify them using ordered pairs, tables, mappings, and graphs. It emphasizes the rule that each input (X) must have a unique output (Y) and demonstrates this through examples. The tutorial also covers the vertical line test for graphically determining functions, highlighting that no X values should repeat for a relation to be a function.

What is essential for a set of ordered pairs to be considered a function?

• Both x and y values must be positive.

• Each x value must be unique.

• The ordered pairs must form a straight line.

• Each y value must be unique.

Tags

CCSS.8.F.A.1

How can you tell if a set of ordered pairs does not represent a function?

• If the y values are not in ascending order

• If it forms a straight line on a graph

• If any x value appears more than once

• If it includes both positive and negative numbers

Tags

CCSS.8.F.A.1

What does each input having only one output imply in a function?

• There can be multiple x values for one y value.

• There can be multiple y values for one x value.

• Each x value corresponds to exactly one y value.

• Each y value corresponds to exactly one x value.

Tags

CCSS.8.F.A.1

What is a linear function?

• A function where the graph is a straight line

• A function with only positive x values

• A function where each x value has multiple y values

• A function that includes only whole numbers

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

In a table representing a function, what is not allowed?

• Repeated y values

• Decimal numbers

• Negative numbers

• Repeated x values

What is true about the y values in a function?

• They cannot be zero

• They must be in ascending order

• They can repeat

• They must all be unique

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What indicates a mapping is not a function?

• If the mapping includes negative numbers

• If all lines are straight

• If there is more than one line coming from an x

• If there is exactly one line coming from each x

Tags

CCSS.8.F.A.1

What is the vertical line test used for?

• To determine if a graph represents a linear function

• To find the slope of a graph

• To measure the distance between points on a graph

• To check if a graph represents a function

What does it mean if a graph passes the vertical line test?

• It represents a function

• All its values are positive

• It has repeated x values

• It does not represent a function

In the context of functions, what is the significance of 'no repeated x's'?

• It means the function cannot have negative values

• It is necessary for the function to have a graph

• It ensures the function is linear

• It is a rule to determine if a relationship is a function

Tags

CCSS.8.F.A.1