Domain and Range

Front

What is the definition of Domain in mathematics?

Back

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

Front

What is the definition of Range in mathematics?

Back

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

Front

What does it mean if a function has a range of all real numbers?

Back

It means that the function can output any real number value.

Front

If a function's range is y ≥ -4, what does this indicate about its outputs?

Back

The outputs of the function are all real numbers greater than or equal to -4.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

All real numbers except x = 2, since the function is undefined at that point.

Front

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

Back

Identify all the x-values for which the graph exists.

Front

What is the domain of the set {-5, -2, 1, 4}?

Back

The domain consists of the values -5, -2, 1, and 4.

Front

If a function has a domain of {-4, -1, 0, 2, 7}, what can you say about its inputs?

Back

The function can only accept the inputs -4, -1, 0, 2, and 7.

Front

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

Back

The range is y ≥ 0, since the output of x^2 is always non-negative.

Front

What does it mean if a function's domain is restricted to {-5, -4, -1, 0, 1, 2, 4, 7}?

Back

The function can only take these specific values as inputs.