What Is A Function

The video introduces the concept of functions, explaining how they transform inputs into outputs using mathematical notation like f(x). It covers calculating function values, solving for unknowns, and the rules that define valid functions. The video also explains domains and ranges, and concludes with a preview of future topics such as composite and inverse functions.

What is the output of the function f(x) = 5x - 2 when the input is 3?

• 17

• 11

• 13

• 15

If f(x) = 35, what is the input x for the function f(x) = 5x - 2?

• 5

• 7

• -7

• -5

Which of the following is NOT a rule for a function?

• Every input can only have one output.

• Functions can be represented by different letters.

• An input can have multiple outputs.

• Every input must have an output.

What does the domain of a function represent?

• The set of possible outputs

• The set of possible inputs

• The range of the function

• The graph of the function

What will be covered in future videos according to the transcript?

• Linear functions

• Quadratic functions

• Composite and inverse functions

• Trigonometric functions