Domain and Range from Graphs

Front

What is the definition of 'Domain' in 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

What is the definition of 'Range' in 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 find the range from a graph?

Back

To find the range from a graph, identify the lowest and highest points on the y-axis that the graph reaches.

Front

What does it mean if a graph has a range of y ≥ 6?

Back

It means that the output values (y-values) of the function are all greater than or equal to 6.

Front

If a graph shows y-values from -2 to 3, how is this expressed in interval notation?

Back

The range in interval notation is expressed as [-2, 3].

Front

What is the domain of a function represented by the graph that spans from -3 to 4 on the x-axis?

Back

The domain is expressed as [-3, 4] in interval notation.

Front

What is the significance of the endpoints in a domain or range?

Back

Endpoints indicate the minimum and maximum values included in the domain or range; brackets [ ] mean the endpoints are included.

Front

If a function has a domain of all real numbers, how is this represented?

Back

The domain is represented as (-∞, ∞) in interval notation.

Front

What is the range of the function if the graph only touches the x-axis at y = 0?

Back

The range is y ≥ 0, meaning all y-values are greater than or equal to 0.

Front

How can you determine if a value is in the range of a function?

Back

Check if the y-value corresponding to the x-value exists on the graph.