Real World Domain and Range

Front

What is the domain of 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

Given the function y=0.99x, what is the domain if x represents the number of songs Mario can buy with a $20 gift card?

Back

The domain is all integers between 0 and 20.

Front

What is the range of a function?

Back

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

Front

For the function y=15+2.5x, if x is between 5 and 10, what is the range?

Back

Front

What does it mean for a function to be defined on a specific interval?

Back

It means that the function only takes on values for inputs (x) within that interval.

Front

In the context of the function c(u) = 34.95u + 6.25, what is the domain if u represents the number of uniforms bought for a volleyball team with 8 to 12 players?

Back

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

Front

What is the significance of the delivery fee in the function f(x)=30+12.5x?

Back

The delivery fee of $30 is a fixed cost that is added to the total cost based on the number of people (x) ordering BBQ.

Front

If a function has a domain of {0, 1, 2, ..., 15}, what does this imply about the situation it models?

Back

It implies that the situation involves a countable number of discrete values, such as the number of people ordering BBQ.

Front

How do you determine the range of a function given its equation?

Back

To determine the range, evaluate the function at the endpoints of the domain and find the minimum and maximum output values.

Front

For the function f(x)=20x+45, what is the range if x represents the number of pairs of weights added?

Back

The range is {45, 65, 85, 105, 125, 145, 165}.