Functions (Domain/Range)

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the domain of a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

Identify the domain of the function: f(x) = 1/(x-2)

Back

The domain is all real numbers except x = 2.

Front

Identify the range of the function: f(x) = x^2

Back

The range is all real numbers greater than or equal to 0.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

Front

Identify the ordered pair that would make this relation a function: {(1, 2), (2, 3), (1, 4)}

Back

(2, 3) - because it does not repeat the x-value.

Front

Is the relation {(3, 4), (3, 5), (4, 6)} a function?

Back

No, because the x-value 3 is associated with two different y-values.

Front

What is the domain of the function defined by y = 2x + 3?

Back

The domain is all real numbers.