Domain and Range Practice

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

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

Front

How do you determine the domain from a graph?

Back

Identify the x-values for which the graph has points; these values make up the domain.

Front

How do you determine the range from a graph?

Back

Identify the y-values that the graph reaches; these values make up the range.

Front

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

Back

It means that not all x-values are valid inputs for the function, often due to factors like division by zero or square roots of negative numbers.

Front

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

Back

f(x) = 1/(x-2) has a restricted domain of all real numbers except x = 2.

Front

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

Back

The domain is x ≥ 1, since the expression under the square root must be non-negative.

Front

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

Back

The range is y ≥ 0, since the output of a square function is always non-negative.

Front

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

Back

The domain is all real numbers except x = 0, since division by zero is undefined.

Front

What is the range of the function f(x) = 2x + 3?

Back

The range is all real numbers, since a linear function can produce any y-value.