Defining Functions: Key Concepts and Applications

The video tutorial reviews the concept of defining functions, focusing on mapping inputs to outputs. It provides examples to illustrate when a mapping is considered a function, emphasizing that each input must have exactly one output. The tutorial includes exercises for students to practice identifying functions through mapping.

What is the primary focus of the video tutorial?

• Solving quadratic equations

• Defining and understanding functions

• Graphing linear equations

• Reviewing algebraic expressions

In the context of functions, what are the 'inputs' commonly referred to as?

• Constants

• Y-values

• Z-values

• X-values

When mapping inputs to outputs, what should you do if an input value repeats?

• Write it multiple times

• Write it only once

• Ignore it

• Write it twice

What is the key characteristic of a function?

• Each input must have exactly one output

• Each input can have multiple outputs

• Each output can have multiple inputs

• Each output must have exactly one input

In the example provided, which input values were mapped to the output value 3?

• 3 and 4

• 2 and 3

• 1 and 4

• 1 and 2

Why is the second example not considered a function?

• It has multiple inputs for a single output

• It has no outputs

• It has multiple outputs for a single input

• It has no inputs

In the second example, which input value had multiple outputs?

• 2

• 7

• 6

• 4

What are the coordinates made up of in the final example?

• Z and W values

• X and Y values

• Y and Z values

• X and Z values

In the final example, which input value maps to the output value 7?

• 3

• 4

• 2

• Negative 3

What should you do if none of the output values repeat?

• Ignore them

• Write them only once

• Write them multiple times

• Write them twice