2A Domain and Range

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

In the equation y=45x+80, what does the '80' represent?

Back

The '80' represents the fixed cost charged by the plumber, regardless of the number of hours worked.

Front

In the equation y=45x+80, what does the '45' represent?

Back

The '45' represents the variable cost per hour that the plumber charges for his services.

Front

What is the maximum number of hours the plumber can work in a day according to the problem?

Back

The maximum number of hours the plumber can work in a day is 8 hours.

Front

If a function has a domain of 0 ≤ x ≤ 8, what does this imply about the input values?

Back

This implies that the input values (x) can range from 0 to 8, including both endpoints.

Front

What is the range of the function if the output values are all real numbers?

Back

If the output values are all real numbers, the range is considered to be all real numbers.

Front

How do you determine the range of a function from its graph?

Back

To determine the range from a graph, identify the lowest and highest y-values that the graph reaches.

Front

What does the notation '-2 ≤ y < 4' indicate about the range?

Back

This indicates that y can take any value from -2 to 4, including -2 but not including 4.

Front

In the context of the bike ride problem, what does the range represent?

Back

The range represents the possible distances from the recreation center that the student can be after riding the bike.