Exponential functions, Mathematics

The exponential functions are useful for describing compound interest and growth. The exponential function is defined as:

         y = m. ax

where 'm' and 'a' are constants with 'x' being an independent variable and 'a' being the base.

The exponential curve rises to the right for a > 1 and m > 0 and rises to left for a < 1 and m > 0.

If x takes on only positive integral values (1,2, 3,...), y = max is the x-th term in a Geometric Progression.

Figure 

1744_exponential function.png

Example 

Compound interest can be shown to be an exponential function. If we invest A rupees in a bank that pays r% compound annual interest then,

y1      =       A + Ar = A (1 + r)

         =       amount your money will grow at the end of the first year.

y2      =       A(1 + r) + A(1 + r)r

         =       A(1 + r) (1 + r)

         =       A(1 + r)2

         =       amount your money will grow at the end of second year.

In general,

yn      = A(1 + r)n       

This expression is of the form y = m.ax where the value of 'm' is A and the value 'a' is (1 + r). The money grows exponentially when it is paid compound interest.

Posted Date: 9/13/2012 6:03:36 AM | Location : United States







Related Discussions:- Exponential functions, Assignment Help, Ask Question on Exponential functions, Get Answer, Expert's Help, Exponential functions Discussions

Write discussion on Exponential functions
Your posts are moderated
Related Questions
1. Show that there do not exist integers x and y for which 110x + 315y = 12. 2. If a and b are odd integers, prove that a 2 +b 2 is divisible by 2 but is NOT divisible by 4. H

the mass of a container is 5.81kg when full with sugar .the mass of container is 3.8kg when 3/8 of the sugar is removed.what is the mass of empty container

Now we need to discuss graphing an equation. The first question which we have to ask is what accurately is a graph of an equation?  A graph is the set of all the ordered pairs whos

what is 5+10

Extended product rule : As a last topic let's note that the product rule can be extended to more than two functions, for instance.  ( f g h )′ = f ′ gh + f g ′ h+ f g h′ ( f

Dinesh bought an article for Rs. 374, which included a discount of 15% on the marked price and a sales tax of 10% on the reduced price. Find the marked price of the article.


Prove that A tree with n vertices has (n - 1) edges.    Ans: From the definition of a tree a root comprise indegree zero and all other nodes comprise indegree one. There should

In an election contested between A and B, A obtained votes equal to twice the no. of persons on the electoral roll who did not cast their votes & this later number was equal to twi

Ten is decreased through four times the quantity of eight minus three. One is then added to in which result. What is the final answer? The area of a square whose side measures