Domain & Range (with some fun oldies!)

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

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

Back

The domain can be determined by identifying the x-values that the graph covers.

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 range of a function from its graph?

Back

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

Front

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

Back

A restricted domain means that there are specific values of x that are not included in the domain, often due to limitations in the function's definition.

Front

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

Back

The domain is x ≥ 2, 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 square of any real number is non-negative.

Front

How can you express the domain of a function using interval notation?

Back

Interval notation uses brackets and parentheses to denote the range of values, e.g., [a, b) means a ≤ x < b.

Front

What is the domain of the function f(x) = 1/(x - 3)?

Back

The domain is all real numbers except x = 3, which can be expressed as (-∞, 3) ∪ (3, ∞).

Front

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

Back

The range is all real numbers except y = 0, which can be expressed as (-∞, 0) ∪ (0, ∞).