Continuous Domain and Range

Front

What is the definition of 'domain' in mathematics?

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 mathematics?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the domain of the function f(x) = 2x + 3?

Back

The domain is all real numbers, but in a specific context, it can be limited based on constraints.

Front

What is the range of the function f(x) = 2x + 3?

Back

The range is all real numbers, but can be limited based on constraints.

Front

If a function has a domain of -3 < x ≤ 3, what does this mean?

Back

This means that x can take any value greater than -3 and up to and including 3.

Front

How do you determine the range from a graph?

Back

The range can be determined by identifying the lowest and highest points on the graph.

Front

What is the domain of the function f(x) = 15 - 2x?

Back

The domain is all real numbers, but can be limited based on the context of the problem.

Front

What is the range of the function f(x) = 15 - 2x?

Back

The range is all real numbers, but can be limited based on the context of the problem.

Front

In the context of buying jerseys, if x is the number of jerseys and y is the total cost, what is the domain?

Back

The domain is {5, 6, 7, 8, 9, 10, 11, 12}.

Front

In the context of buying tickets at a carnival, if you have $15 and each ticket costs $2, what is the domain?

Back

The domain is {0, 1, 2, 3, 4, 5, 6}.