Real-World Domain and Range

Front

What is the definition of 'Domain' in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of 'Range' in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output) that result from using the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you determine the range from a graph?

Back

The range can be determined by identifying the smallest and largest y-values that the graph touches.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is the domain of the function d(h) = 2100 - 70h?

Back

The domain is all positive numbers up to and including h = 30, since it takes 30 hours to reach the destination.

Front

What is the range of the function d(h) = 2100 - 70h?

Back

The range is any positive real number (including decimals) up to 2100, as this is the maximum distance before reaching Nevada.

Front

What does the ordered pair (52, 3) represent in a function?

Back

It represents that when there are 52 members, 3 buses are needed.

Tags

CCSS.HSF.IF.A.2

Front

What is the domain for the function that relates the number of members to the number of buses needed?

Back

The domain is {52, 72, 86, 105}, which are the number of members on each trip.

Front

What is an example of a real-world situation where domain and range are applied?

Back

A student riding a bike to a recreation center, where the distance from the center changes over time.

Front

What is the significance of the inequality 0 < x < 20 in a real-world context?

Back

It represents the time in hours during which a water tank is draining, indicating it cannot drain for negative time or more than 20 hours.

Front

How can you find the maximum value of a function from a graph?

Back

By locating the highest point on the graph, which corresponds to the maximum output value.