Domain and Range from a graph

Front

What is the DOMAIN of a graph?

Back

The DOMAIN of a graph refers to the set of all possible x-values (inputs) for which the function is defined.

Front

How do you determine the domain from a graph?

Back

To determine the domain from a graph, look for the x-values that the graph covers from left to right.

Front

What does it mean if a graph has a domain of x > -3?

Back

It means that the function is defined for all x-values greater than -3, not including -3 itself.

Front

What is the RANGE of a graph?

Back

The RANGE of a graph refers to the set of all possible y-values (outputs) that the function can produce.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, look for the y-values that the graph covers from bottom to top.

Front

What does it mean if a graph has a range of all real numbers greater than or equal to 0 and less than or equal to 25?

Back

It means that the function can produce any y-value between 0 and 25, including both endpoints.

Front

What is the domain of the function defined by -6 ≤ x ≤ 6?

Back

The domain of this function includes all x-values from -6 to 6, including both endpoints.

Front

What is the range of the function defined by -1 ≤ f(x) ≤ 1?

Back

The range of this function includes all y-values from -1 to 1, including both endpoints.

Front

If a function has no restrictions on x, what is its domain?

Back

If there are no restrictions, the domain is all real numbers, denoted as (-∞, ∞).

Front

What is the significance of closed intervals in domain and range?

Back

Closed intervals indicate that the endpoints are included in the domain or range, meaning those values are part of the set.