Functions- Review

Front

What is a function?

Back

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

Front

What is the notation for a function?

Back

Functions are often written as f(x), where 'f' is the function name and 'x' is the input.

Front

What does f(2) = 8 mean?

Back

It means that when the input is 2, the output of the function f is 8.

Front

What is the difference between a function and a relation?

Back

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

Front

What does it mean if a mapping is 'not a function'?

Back

It means that at least one input is associated with more than one output.

Front

How can you determine if a relation is a function using a graph?

Back

Use the vertical line test: if a vertical line crosses the graph more than once, it is not a function.

Front

What is the output of f(2) if f(x) = 4x - 2?

Back

The output is 6, since f(2) = 4(2) - 2 = 8 - 2 = 6.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

If f(x) = x + 3, what is f(-1)?

Back

f(-1) = -1 + 3 = 2.