Domain and Range of Functions Review

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

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 has points.

Front

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

Back

The range can be determined by identifying the y-values that the graph reaches.

Front

What is the domain of the function f(x) = √(x - 3)?

Back

x ≥ 3.

Front

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

Back

y ≥ 0.

Front

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

Back

x ≠ 2.

Front

What is the range of the function f(x) = 3x + 1?

Back

All real numbers.

Front

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

Back

All real numbers.

Front

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

Back

-1 ≤ y ≤ 1.