Unit 2 Review for Flashcard #4-7

Front

Where does a relative minimum value occur?

Back

A relative minimum value occurs at a point where the function changes from decreasing to increasing. In this case, it occurs at x = 3.

Front

Find the average rate of change of Pete's height from 3 years old to 5 years old.

Back

The average rate of change is calculated as the change in height divided by the change in age. Here, it is 4 inches per year.

Front

What is the DOMAIN of a function?

Back

The domain of a function is the complete set of possible values of the independent variable. For this function, the domain is [0, ∞).

Front

Which domain is most appropriate for a function predicting the number of household online devices in terms of the number of people in the household?

Back

The most appropriate domain is Whole Numbers, as you cannot have a negative number of people or devices.

Front

What is the range of the function?

Back

The range of the function is the set of possible output values. In this case, it is -8 ≤ y ≤ 2.

Front

Define 'average rate of change'.

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

Explain the concept of 'relative maximum'.

Back

A relative maximum occurs at a point where the function changes from increasing to decreasing.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points in that interval, the function's value at the second point is greater than at the first.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, for any two points in that interval, the function's value at the second point is less than at the first.