Domain and Range of Functions

Front

What is the definition of Domain in 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 definition of Range in a function?

Back

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

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {-4, 0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {-4, -3, 1}.

Front

What is a function?

Back

A function is a relation where each input (x-value) is associated with exactly one output (y-value).

Front

Is the relation {(1,2), (1,3)} a function? Why?

Back

No, because the x-value 1 has two different y-values (2 and 3).

Front

What does it mean if a function is continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is the difference between a function and a relation?

Back

A relation can have multiple outputs for a single input, while a function must have only one output for each input.

Front

For the inequality -2 ≤ y < 1, what is the range?

Back

The range includes all y-values from -2 to just below 1.

Front

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

Back

The domain is all real numbers except x = 0.