11/25 Warm Up: Functions and Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is an independent variable?

Back

An independent variable is the variable that is manipulated or changed in an experiment.

Front

What is a dependent variable?

Back

A dependent variable is the variable that is measured or affected in an experiment.

Front

Is the mapping {(1,2), (2,3), (3,4)} a function?

Back

Yes, it is a function because each input has exactly one output.

Front

Identify the independent variable: the number of hours studied or the test score.

Back

The independent variable is the number of hours studied.

Front

Identify the dependent variable: the number of hours studied or the test score.

Back

The dependent variable is the test score.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

What is function notation?

Back

Function notation is a way to denote functions, typically written as f(x), where f is the function and x is the input.

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values.