Functions

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly one output (y-value).

Front

What does the term 'domain' refer to in functions?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What does the term 'range' refer to in functions?

Back

The range is the set of all possible output values (y-values) for a function.

Front

Evaluate f(-2) if f(x) = x^2 + 3.

Back

f(-2) = 7.

Front

What is the output of the function f(x) = 5x + 1 when x = -11?

Back

f(-11) = -54.

Front

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

Back

No, it is not a function because the input '1' has two different outputs.

Front

What is the vertical line test?

Back

A method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is an example of a linear function?

Back

f(x) = 2x + 3 is a linear function.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one output.

Front

What is the output of f(x) = x^2 when x = 3?

Back

f(3) = 9.