Domain and Range

Front

What is the definition of Domain in mathematics?

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 mathematics?

Back

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

Front

Identify the domain of the relation: (-6,14), (0,32), (2,38), (4,44).

Back

-6, 0, 2, 4

Front

Identify the range of the function: y = 2x + 3 for x in [1, 4].

Back

y ≥ 5.

Front

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

Back

It means that the function can accept any real number as an input.

Front

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

Back

y ≥ 0.

Front

If the domain of a function is {1, 2, 3}, what are the possible x-values?

Back

1, 2, 3.

Front

What is the range of the function f(x) = -x + 4?

Back

All real numbers.

Front

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

Back

The domain can be determined by identifying the x-values for which the graph exists.

Front

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

Back

All real numbers except x = 2.