Domain & Range

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

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

Front

If a function has a Domain of {-3, -2, -1, 0, 1, 2, 3}, what does this mean?

Back

The function can only take these specific x-values as inputs.

Front

What is the Range of the function A = 0.12p if p can be 3, 4, 6, or 9?

Back

{0.36, 0.48, 0.72, 1.08}

Front

How do you determine the Range of a function graphically?

Back

By identifying the lowest and highest y-values on the graph.

Front

What does it mean if the Range of a function is y ≥ 3?

Back

The output values of the function start from 3 and go to infinity.

Front

What is the Range of the function f(x) = x^2 for x in [-3, 3]?

Back

[0, 9] because the minimum value is 0 and the maximum is 9.

Front

If a function has a Range of All real numbers, what does this imply?

Back

The function can produce any real number as an output.

Front

What is the significance of the Range in real-world applications?

Back

It helps to understand the limits of possible outcomes in a given situation.

Front

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

Back

All real numbers except x = 0.