EXPONENTIAL GRAPH

1. TOPIC NAME : EXPONENTIAL GRAPH

2. EXPONENTIAL GROWTH
• Exponential growth is a process that increases quantity exponentially
over time.
• Generally it generates a “J” shaped curve.

3. EXPONENTIAL GRAPH
• A exponential graph is defined as a graph with a positive variable other than ‘1’
increases as a exponent.
• General formula of an Exponential Graph is ----------
Where,
f(x)= function of ‘x’
e= Exponential growth function
x= Number of time interval
f(x)=ex

4. EXAMPLES
• Bacterial growth in a lab provides an excellent example of
exponential growth curve.
• Like exponential growth graph, there also be exponential decay
graph.

5. EXPONENTIAL GRAPHS

6. EXPONENTIAL GRAPHS
• The scenario when the value of ‘a’ is between 0 and 1.

7. PROBLEMS OF EXPONENTIAL GRAPH
• Sketch the graph of :

8. PROBLEMS OF EXPONENTIAL GRAPH

9. RELATIONSHIP BETWEEN LOGARITHMIC AND
EXPONENTIAL FUNCTION
• The relationship tells that logarithmic function is the inverse of
exponential function.

10. APPLICATIONS
• Exponential graphs are often used to represent real-world
problems.
• Such as Bacterial growth/decay, population growth/decline can
be model by exponential graph.

11. THANK YOU