Identifying Function Properties with Real-World Examples

This video tutorial teaches how to identify functions even when they are written in unfamiliar forms. It explains that a function is defined by the relationship between numbers, not the format. The video addresses common misconceptions, provides examples, and demonstrates graphing and testing functions using the vertical line test.

What is the primary requirement for a relation to be considered a function?

• Each input must have only one output.

• It must start with y equals.

• It must be written in the form y = mx + b.

• It must be expressed as a graph.

Why is the equation y - 2 = X^2 considered a function?

• Because it has multiple outputs for each input.

• Because it can be rearranged to a familiar form.

• Because it is written in a standard format.

• Because it starts with y equals.

What method can be used to verify if a graph represents a function?

• Parallel line test

• Vertical line test

• Diagonal line test

• Horizontal line test

In the example 2y = 4x + 8, what is the result of solving for y?

• y = 4x + 8

• y = 2x + 4

• y = 8x + 4

• y = x + 2

What does the vertical line test confirm about a graph?

• That each input has multiple outputs.

• That the graph is a straight line.

• That the graph is a circle.

• That each vertical line crosses the graph at most once.