Domain and Range

Front

What is domain in mathematics?

Back

The collection of all inputs or x-values for a function.

Front

What is the range in mathematics?

Back

The collection of all outputs or y-values that a function can produce.

Front

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

Back

Identify all the x-values for which the function is defined.

Front

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

Back

All real numbers except x = 2.

Front

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

Back

All non-negative real numbers (y ≥ 0).

Front

If a function has a domain of {-4, -1, 0, 2, 7}, what does this mean?

Back

The function is defined only for these specific x-values.

Front

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

Back

All non-negative real numbers (x ≥ 0).

Front

How can you express the domain of a function using interval notation?

Back

Use brackets and parentheses to denote closed and open intervals, respectively.

Front

What is the significance of identifying the domain and range of a function?

Back

It helps to understand the behavior and limitations of the function.

Front

What is an example of a function with a limited domain?

Back

f(x) = log(x) has a domain of x > 0.