Identifying and Evaluating Functions

Front

What is a function?

Back

A function is a relation where every input has only ONE output.

Front

Does the mapping of points (1,2), (2,3), (3,4) represent a function?

Back

Function

Front

Does the mapping of points (1,2), (1,3), (2,4) represent a function?

Back

Not a Function

Front

What is the vertical line test?

Back

A method to determine if a relation is a function; if a vertical line crosses the graph more than once, it is not a function.

Front

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

Back

8

Front

What are the domain and range of a function?

Back

Domain is the set of all possible input values (x-values), and range is the set of all possible output values (y-values).

Front

What is an independent variable in a function?

Back

The variable that represents the input values, often denoted as x.

Front

What is a dependent variable in a function?

Back

The variable that represents the output values, often denoted as y.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs.

Front

What is a linear function?

Back

A function that graphs to a straight line, typically in the form f(x) = mx + b.