Question

What are some real life examples of increasing and decreasing functions?

Answer 1

Answer:

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Answer 2

Given,

What are some real-life examples of increasing and decreasing functions?

Solution,

Understand that to know whether a given function is increasing or decreasing in nature first derivate the function and check whether in the given interval the value is greater than zero or less than zero. If the value is greater than zero then it is an increasing function otherwise a decreasing function.  

Therefore, examples of increasing function are:-

• Share prices going up.
• The demand for a particular product increasing.
• The profit for a particular firm.

Similarly, examples of decreasing function are:-

• The downfall movement of a company profit.
• The decreasing speed of a car with respect to time.