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

How do you find the Domain of a function?

Back

Identify all the x-values that can be input into the function without causing any mathematical errors (like division by zero).

Front

How do you find the Range of a function?

Back

Determine all the possible y-values that result from the function's x-values.

Front

What is a Vertex in a parabola?

Back

The highest or lowest point on the parabola, depending on its orientation.

Front

What does it mean if a function has a range of all real numbers greater than or equal to -6?

Back

The output values of the function start from -6 and extend to positive infinity.

Front

What is the relationship between Domain and Range?

Back

The Domain consists of input values, while the Range consists of output values derived from those inputs.

Front

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

Back

All real numbers except x = 2, since it would cause division by zero.

Front

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

Back

All real numbers greater than or equal to 0.

Front

How can you visually determine the Domain of a function from its graph?

Back

By looking at the x-axis and identifying the values for which the graph exists.