Characteristics and Outputs of Functions

The video introduces the concept of functions, explaining that each input must have only one output. It provides three examples of mappings to determine if they are functions. The first example is a function, the second is not, and the third is a function. The video concludes with a brief introduction to more complex topics.

What is a key characteristic of a function in terms of inputs and outputs?

• Inputs and outputs are unrelated.

• Each input can have multiple outputs.

• Each input has exactly one output.

• Outputs can have multiple inputs.

In the first example, which input is mapped to the output zero?

• Two

• Four

• Five

• Negative one

Why is the first example considered a function?

• Inputs are not related to outputs.

• Outputs are not related to inputs.

• Each input has exactly one output.

• Each input has multiple outputs.

In the first example, which input is mapped to the output four?

• Two

• Negative one

• Four

• Five

In the first example, which input is mapped to the output negative one?

• Five

• Negative one

• Four

• Two

In the second example, which input has more than one output?

• Eight

• Negative four

• Zero

• Five

What makes the second example not a function?

• Inputs are not related to outputs.

• Outputs are not related to inputs.

• Each input has exactly one output.

• An input has multiple outputs.

In the second example, what are the outputs for the input negative four?

• Zero and four

• One and two

• Two and five

• Five and seven

Which of the following inputs is NOT present in the second example?

• Five

• Eight

• Zero

• Negative four

In the third example, which input is mapped to the output negative five?

• Four

• Negative three

• Negative two

• Zero