Identifying Functions: Key Concepts and Techniques

What is the definition of a function in mathematics?

• A rule that does not require any inputs

• A rule that assigns multiple outputs to one input

• A rule that assigns each input exactly one output

• A rule that assigns outputs randomly

Tags

CCSS.8.F.A.1

What is the purpose of the vertical line test?

• To determine if a graph is a straight line

• To check if each x-value maps to multiple y-values

• To verify if a graph represents a function by intersecting it at exactly one point

• To ensure all lines are vertical on the graph

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

• It only contains horizontal lines

• It does not intersect the line at all

• It intersects the line at multiple points

• It intersects the line at exactly one point per line drawn

In a mapping diagram, what indicates that it does not represent a function?

• The diagram includes only one x-value

• All arrows point in the same direction

• More than one arrow leaves from an x-value

• Each x-value connects to exactly one y-value

Tags

CCSS.8.F.A.1

Which scenario describes a function using a mapping diagram?

• Each x-value has exactly one line connecting to a y-value

• All lines in the diagram are parallel

• No lines connect any x-values to y-values

• An x-value with multiple lines leading to different y-values

Tags

CCSS.8.F.A.1

How can mapping diagrams be converted for easier analysis?

• By rearranging the x-values alphabetically

• By removing all y-values

• By converting them into sets of ordered pairs

• By drawing more lines

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

How can you confirm a set of ordered pairs represents a function?

• By confirming all pairs are in ascending order

• By ensuring no x-value is repeated

• By checking if y-values are all different

• By making sure there are at least two pairs

Tags

CCSS.8.F.A.1

What is an example of a non-function based on ordered pairs?

• Pairs where each x-value is unique

• Pairs where x-values repeat with different y-values

• Pairs that form a linear sequence

• Pairs that only include positive numbers

Tags

CCSS.8.F.A.1

What should you do if you see a repeated x-value in a table when identifying functions?

• Only focus on the y-values

• Identify it as not a function

• Ignore the repetition and continue

• Confirm it as a function

Tags

CCSS.8.F.A.1

What is the correct approach to document learning if you don't have a printer?

• Write down everything manually

• Take a picture with a cell phone

• Record the video again

• Ignore the documentation

Tags

CCSS.RI.6.7

CCSS.RI.7.7

CCSS.RI.8.7

CCSS.RL.6.7

CCSS.RL.8.7