Foundations Bell work 11/20/2024

Front

What is the definition of a function in mathematics?

Back

A function assigns to each element of the domain exactly one element of the range.

Front

In the expression 7.99m + 5.99c, what does the coefficient 5.99 represent?

Back

Each pound of cheese costs $5.99.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if there is exactly one output value for each input value.

Front

How can you determine if a relation represented by an equation is a function?

Back

You can determine if a relation is a function by checking if each input value corresponds to exactly one output value.

Front

What is the total cost represented by the equation P = 1.25x?

Back

The total cost P is equal to $1.25 multiplied by the number of packs of crayons x.

Front

What does the function f(x) = 2500 - 45x represent in the context of a delivery driver?

Back

It represents the distance remaining in miles after traveling for x hours at an average speed of 45 miles per hour.

Front

How do you calculate the remaining distance after a certain time using the function f(x) = 2500 - 45x?

Back

Substitute the value of x (time in hours) into the function to find the remaining distance.

Front

What is the value of f(2) in the function f(x) = 2500 - 45x?

Back

f(2) = 2500 - 45(2) = 2500 - 90 = 2410, representing the remaining distance after 2 hours.

Front

What is the significance of the domain in a function?

Back

The domain is the set of all possible input values for the function.

Front

What is the significance of the range in a function?

Back

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