domain and range from graphs Rev for Final

Front

What is the DOMAIN of the graph represented by the interval -4 ≤ x ≤ 3?

Back

The domain is the set of all possible x-values for which the graph is defined, which in this case is -4 ≤ x ≤ 3.

Front

Find the domain and range for the function where D: 1 ≤ x < ∞ and R: 0 ≤ y < ∞.

Back

Domain (D): 1 ≤ x < ∞; Range (R): 0 ≤ y < ∞.

Front

How do you determine the DOMAIN of a graph?

Back

The domain is found by reading the ends of a graph from left to right.

Front

What is the domain of the graph if the interval is -3 < x ≤ 3?

Back

The domain is -3 < x ≤ 3.

Front

What is the range of a graph if the interval is 0 ≤ y < ∞?

Back

The range is 0 ≤ y < ∞.

Front

What does it mean if a graph has a domain of -1 < x < 4?

Back

It means that the graph is defined for x-values greater than -1 and less than 4.

Front

If a graph has a range of -4 ≤ y ≤ 5, what does this indicate?

Back

This indicates that the y-values of the graph are between -4 and 5, inclusive.

Front

What is the significance of the endpoints in determining the domain of a graph?

Back

Endpoints indicate the limits of the x-values for which the graph exists; closed intervals include the endpoints, while open intervals do not.

Front

How can you visually identify the domain of a graph?

Back

You can visually identify the domain by looking at the horizontal extent of the graph on the x-axis.

Front

What is the domain of a function if it is defined for all real numbers except x = 2?

Back

The domain is all real numbers except x = 2, often written as (-∞, 2) ∪ (2, ∞).