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

If f(x) = 2x + 3, what is the domain?

Back

All real numbers.

Front

If f(x) = x^2, what is the range?

Back

All real numbers y such that y ≥ 0.

Front

What does it mean if a function has a restricted domain?

Back

It means that not all real numbers are valid inputs for the function, often due to constraints like square roots or denominators.

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 real numbers y such that y ≤ 0.

Front

How do you find the range of a function from a graph?

Back

Identify the lowest and highest points on the graph and determine the y-values that the function takes.

Front

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

Back

All real numbers x such that x ≥ 1.

Front

If f(x) = |x|, what is the range?

Back

All real numbers y such that y ≥ 0.