Make up: 9/8/23 Flashcardizz: Domain and Range Word Problems

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=0.99x, what does 'x' represent?

Back

In this equation, 'x' represents the number of songs purchased.

Front

In the equation f(x)=100-10x, what does 'x' represent?

Back

In this equation, 'x' represents the number of questions missed on a test.

Front

What is the reasonable domain for the function f(x)=30+12.5x when x is the number of people?

Back

The reasonable domain is all integers from 0 to the maximum number of people, which is 15.

Front

What is the range of the function f(x)=100-10x for a test with 10 questions?

Back

The range is {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}.

Front

How do you determine the domain of a function based on a real-world scenario?

Back

Identify the constraints of the situation, such as maximum or minimum values, and express them as a set of valid input values.

Front

What is the domain of the function f(x)=30+12.5x when x represents the number of people?

Back

The domain is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}.

Front

What does it mean if a function has a domain of all real numbers?

Back

It means that the function can accept any real number as an input.

Front

What is the significance of identifying the domain and range in a function?

Back

Identifying the domain and range helps understand the limitations and behavior of the function in real-world applications.