Unit 4: Mid-Unit Assessment 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.

Front

What does the equation s(w)=75-4.5w represent?

Back

It represents the remaining amount of sugar in kilograms after w weeks, starting with 75 kilograms and using 4.5 kilograms per week.

Front

How do you determine if two functions intersect?

Back

To find if two functions intersect, set them equal to each other and solve for the variable. The solutions indicate the points of intersection.

Front

What does B(t) represent in the context of population graphs?

Back

B(t) represents the population of Baltimore in year t.

Front

What does C(t) represent in the context of population graphs?

Back

C(t) represents the population of Cleveland in year t.

Front

What is the significance of the maximum height in a function representing height over time?

Back

The maximum height indicates the highest point reached by the object (e.g., a drone) during its motion.

Front

What does the notation w(7)=4 mean in the context of the cat's weight?

Back

It means that the cat weighs 4 kilograms when it is 7 months old.

Front

How can you interpret the slope of a linear function?

Back

The slope indicates the rate of change of the function; a positive slope means the function is increasing, while a negative slope means it is decreasing.

Front

What is the importance of identifying the domain of a function?

Back

The domain defines the set of possible input values for the function, which is crucial for understanding its behavior.

Front

What does it mean if a function is increasing on an interval?

Back

It means that as the input values increase, the output values also increase within that interval.