functions domain range

Front

What is a function?

Back

For every input, there is exactly one output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The set of all possible output values (y-values) that a function can produce.

Front

Is the relation a function? x: 11 -> y: 2, y: 3

Back

No, because the x-value 11 has two y-values paired with it.

Front

What is the domain of the function f(x) = x^2?

Back

All real numbers.

Front

What is the range of the function f(x) = x^2?

Back

y ≥ 0.

Front

How do you determine the domain of a function from its graph?

Back

Identify all the x-values for which the graph has points.

Front

How do you determine the range of a function from its graph?

Back

Identify all the y-values that the graph reaches.

Front

What is a vertical line test?

Back

A method to determine if a relation is a function by checking if any vertical line intersects the graph more than once.

Front

What is the domain of the function f(x) = 1/x?

Back

All real numbers except x = 0.