Identifying Functions: Key Concepts and Techniques

The video tutorial introduces the concept of functions, explaining how each input is paired with exactly one output. It covers the vertical line test to determine if a graph represents a function and provides examples and non-examples of functions. The tutorial concludes with a discussion on mapping diagrams and assigns homework to reinforce the concepts learned.

What should Nate receive if he inputs B2?

• Water

• Chocolate Milk

• Orange Juice

• Apple Juice

If Mia inputs B2, what is her expected output?

• Water

• Apple Juice

• Orange Juice

• Chocolate Milk

What is expected when five people input B1 consecutively?

• They each get chocolate milk

• They each get orange juice

• They each get water

• They each get apple juice

What is the output when input A1 is used?

• Chocolate Milk

• Water

• Milk

• Fruit Punch

What does the vertical line test determine?

• If a graph is a circle

• If a relation is a function

• If a graph is linear

• If a relation is not a function

Which scenario describes a function failing the vertical line test?

• A line is horizontal

• A line does not touch the graph

• A line crosses at one point

• A line crosses at multiple points

In a mapping diagram, what condition must be met for it to represent a function?

• Y values are not repeated

• X values are not repeated

• Both X and Y values are repeated

• No values are repeated

What happens if an X value is paired with more than one Y value?

• It is still a function

• It is not a function

• It passes the vertical line test

• It does not affect the function status

What should students do with the set of ordered pairs in their practice?

• Calculate their sum

• Determine if they represent a function

• Graph them

• Ignore them

What unique characteristic does the number forty have?

• It is a prime number

• Its letters are in alphabetical order

• It is a perfect square

• Its digits sum to four