Domain & Range

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 from a graph?

Back

To determine the range from a graph, identify the lowest and highest points on the graph and list all the y-values that the graph covers.

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) that the function can accept.

Front

How do you determine the domain from a graph?

Back

To determine the domain from a graph, identify the leftmost and rightmost points on the graph and list all the x-values that the graph covers.

Front

What is the relationship between domain and range?

Back

The domain refers to the input values of a function, while the range refers to the output values. They are both essential for understanding the behavior of a function.

Front

What notation is commonly used to express the domain of a function?

Back

The domain is often expressed using interval notation, such as (-∞, ∞) or [a, b].

Front

What notation is commonly used to express the range of a function?

Back

The range is often expressed using interval notation, such as [c, d] or (-∞, b].

Front

What does it mean if a function is defined for all real numbers?

Back

If a function is defined for all real numbers, its domain is (-∞, ∞), meaning it accepts any real number as an input.

Front

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

Back

An example of a function with a limited domain is f(x) = √x, which is only defined for x ≥ 0.

Front

What is an example of a function with a limited range?

Back

An example of a function with a limited range is f(x) = x^2, which has a range of [0, ∞).