functions domain range

Front

What is the definition of the domain of a function?

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 the range of a function?

Back

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

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input (x-value) is associated with exactly one output (y-value).

Front

Identify the domain of the function represented by the graph: y = 2x + 3.

Back

All real numbers.

Front

Identify the range of the function represented by the graph: y = -x^2 + 4.

Back

y ≤ 4.

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

y ≥ 0.

Front

Given the function f(x) = √(x-1), what is the domain?

Back

x ≥ 1.

Front

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

Back

y ≥ 0.

Front

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

Back

x > 0.