Identifying Functions: A Comprehensive Overview

What analogy is used to explain a function?

• A classroom seating chart

• A vending machine

• A grocery store layout

• A library system

What must be true for a relation to be considered a function?

• Each x value maps to exactly one y value

• The x values can repeat

• Each y value has multiple x values

• The graph is a straight line

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

• Both x and y values must repeat

• The y values must not repeat

• The x values must not repeat

• Both x and y values must not repeat

What is the result of having repeating x values in ordered pairs?

• It's not a function

• It's still a function

• It cannot be determined

• It becomes a linear function

In the context of tables, what indicates that a relationship is not a function?

• When the x values repeat

• When the y values are all different

• When the table has more rows than columns

• When the table is square

How can you tell a function from a table?

• The table has equal rows and columns

• Y values do not repeat

• X values do not repeat

• All rows are filled

What unique feature do mappings have in identifying functions?

• Arrows are not used in mappings

• Each x can have multiple arrows

• Each x can only have one arrow

• Each y can have multiple arrows

In mappings, what does it mean if an x has more than one arrow?

• It's not a function

• It's a one-to-one function

• It's a multivariable function

• It's a complex function

What does the vertical line test determine?

• If a graph is symmetrical

• If a graph is a parabola

• If a graph represents a function

• If a graph is linear

What does the vertical line test prove about a graph?

• That it can be divided equally

• That it represents a function if the line only touches once

• That it is not a function if it's a straight line

• That it has an inverse function