This video tutorial covers the concepts of relations and functions, explaining how ordered pairs form relations and how mappings visually represent them. It defines functions as relations where each x-value maps to a single y-value and introduces one-to-one functions, where each y-value maps from a single x-value. The video also explains the vertical and horizontal line tests used to determine if a graph represents a function or a one-to-one function. Finally, it discusses domain and range, teaching how to determine these from graphs using interval notation.

What is a relation in mathematics?

• A set of unordered pairs

• A single point in XY form

• A function with multiple outputs

• A set of ordered pairs or points in XY form

Tags

CCSS.8.F.A.1

In a mapping, what do the arrows represent?

• The distance between points

• The direction of the wind

• The relationship between X and Y values

• The size of the circles

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What makes a relation a function?

• Every X value is mapped to exactly one Y value

• Every Y value is mapped to exactly one X value

• X values can map to multiple Y values

• Y values can map to multiple X values

Tags

CCSS.8.F.A.1

Which of the following would make a relation not a function?

• All Y values map to the same X value

• All X values map to the same Y value

• One Y value maps to two different X values

• One X value maps to two different Y values

Tags

CCSS.8.F.A.1

What is a one-to-one function?

• A function where every Y value is mapped from exactly one X value

• A function where every X value is mapped from exactly one Y value

• A relation where Y values can map to multiple X values

• A relation where X values can map to multiple Y values

What test must a graph pass to be considered a function?

• Vertical line test

• Curved line test

• Horizontal line test

• Diagonal line test

What additional test must a graph pass to be considered a one-to-one function?

• Diagonal line test

• Curved line test

• Horizontal line test

• Vertical line test

What is the domain of a relation?

• The set of all Y values

• The set of all points

• The set of all ordered pairs

• The set of all X values

What is the range of a relation?

• The set of all points

• The set of all ordered pairs

• The set of all Y values

• The set of all X values

In interval notation, what do brackets around numbers indicate?

• The interval is undefined

• The numbers are included in the interval

• The interval is infinite

• The numbers are excluded from the interval

Tags

CCSS.6.EE.B.8