Review #2: Appropriate Domain & 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

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the domain of a linear function?

Back

The domain of a linear function is determined by the context of the problem, often limited by real-world constraints such as time, quantity, or capacity.

Front

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

Back

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

Front

If a dog has 7 puppies, what is the maximum number of puppies Lucy can sell?

Back

Lucy can sell a maximum of 7 puppies.

Front

What is the formula for calculating Sara's earnings at the carwash?

Back

Sara's earnings can be calculated using the formula f(x) = 50 + 8x, where x is the number of hours worked.

Front

What is the domain of the function f(x) = 50 + 8x for Sara's earnings?

Back

The domain is 7 ≤ x ≤ 20, representing the number of hours she works.

Front

What is the range of the function f(x) = 50 + 8x for Sara's earnings?

Back

The range is 106 ≤ y ≤ 210, representing her total earnings.

Front

What does it mean for a function to be continuous?

Back

A continuous function is one where small changes in the input result in small changes in the output, with no gaps or jumps in the graph.