IM Algebra Unit #4 Functions Review

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input and f(x) is the output.

Front

What does c(3) = 250 mean in the context of a cow's weight?

Back

It means that the weight of the cow is 250 pounds when it is 3 years old.

Front

How do you calculate the average rate of change of a function?

Back

The average rate of change is calculated by taking the difference in the function's values at two points and dividing it by the difference in the input values.

Front

What does N(g) represent in the context of a class's quiz grades?

Back

N(g) represents the number of students who received a grade of g on the quiz.

Front

If Harry Potter starts with 10,000 gold coins and takes out 850 each week, what is the function that represents the remaining coins?

Back

The function g(w) = 10000 - 850w represents the remaining amount of gold coins after w weeks.

Front

What is the output of the function g(7) if g(w) = 10000 - 850w?

Back

g(7) = 10000 - 850(7) = 4050, meaning Harry has 4050 gold coins remaining after 7 weeks.

Front

What does it mean if a function is linear?

Back

A linear function is a function that graphs to a straight line, indicating a constant rate of change.

Front

How do you find the remaining amount after a certain number of weeks using a function?

Back

Substitute the number of weeks into the function to calculate the remaining amount.

Front

What is the significance of the slope in a linear function?

Back

The slope represents the rate of change of the function, indicating how much the output changes for a unit change in the input.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for which the function is defined.