Domain & Range Review

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

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

Front

What does it mean if a function has a domain of [-3, 9)?

Back

The function is defined for all x-values from -3 to 9, including -3 but not including 9.

Front

How do you determine the domain of a linear function?

Back

The domain of a linear function is typically all real numbers unless specified otherwise.

Front

What is the constant of variation in a direct variation problem?

Back

The constant of variation (k) is the ratio of the output value to the input value, which remains constant.

Front

If a function has a range of {10, 19, 26}, what does this indicate?

Back

The function can output only the values 10, 19, and 26.

Front

What is the domain of the function f(x) = x^2 for all real numbers?

Back

The domain is all real numbers, (-∞, ∞).

Front

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

Back

The range is [0, ∞) since the output is always non-negative.

Front

How do you find the domain of a function given a graph?

Back

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

Front

What does the notation (a, b) signify in interval notation?

Back

It signifies an open interval, meaning a and b are not included in the domain.