Introduction to Exponential Function - Mohd noor

I N T R O D U C T I O N T O

Mohd Noor Abdul Hamid, Ph.D

Suppose you are given a pizza and a knife. You are

required to cut the pizza into eight equal piece

using the knife with only three cuts..

How would you do it???

1. Cut the pizza into two equal pieces 2 pieces.

2. Stack the two pieces of pizza on top of each other, and make

another cut 4 pieces

3. Stack the four pieces of the pizza on top of each other, and make

another cut 8 pieces

The number of pieces can be written in a form of :

Number of pieces (N) = 2c, where c is the number of cut we made

N = 2 c

Therefore;

C (Number of Cut/s)

(input)

N (Number of pieces)

(output)

0 N = 20 = 1

1 N = 21 = 2

2 N = 22 = 4

3 N = 23 = 8

The number of pieces (pizzas) is said to increase

exponentially according to the cuts being made.

N = 2 c

Constant

(base)

Variable

(power / exponent)

Therefore:

An exponential function is a function which involves,

a constant (base) raised to a variable power (exponent).