graph of an exponential and logarithmic functions as- y=ex,y=ax,y= loge(x)

As I  said, YOU WILL LEARN ABOUT THE GRAPH OF EXPONENTIAL AND LOGARITHMIC  FUNCTIONS in this post....

At the wonderknowledge, in this post you will learn to sketch the graph of EXPONENTIAL AND LOGARITHMIC  FUNCTIONS. I will tell you following to sketch the graph of EXPONENTIAL AND LOGARITHMIC  FUNCTIONS , for the beginners…..

Wonderknowledge पर, इस पोस्ट में आप घातांकी और लघुगणकीय कार्यों के ग्राफ को स्केच करना सीखेंगे। मैं आपको नीचे कुछ और गणितीय कार्यों के ग्राफ को आरंभ करने के लिए बताऊंगा।….....

>The graph of y=e^x

here e is "Eulers Number" = 2.718281828459...

when x=0, the value of e^x = 1,

when x=1, the value of e^x = e

 This means it cuts y-axis at y=1 at x=0, and after that strictly increases.

The graph of y= e^kx

here k is constant...

>The graph of y=a^x

( a > 1) 

let  y=2^x

IF  we  put values of x 0,1,2,3,-1,-2,-3 then we find y= 1,2,4,8,1/2,1/4,1/9 as following 

Then the graph of y=a^x

Similarly, the graph of of of y=a^x

when ( a<1)

The graph of y= a^kx

>


 e^x is the inverse function of   loge(x) (the Logarithmic Function)....

IF  we  put values of  x  then we find y as following 

Thus the graph of this function will be as following..

The graph of y= loge(kx)  w

where k is a constant....

THUS YOU CAN SKETCH GRAPH OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS...............
 
IN THE NEXT POST, YOU WILL LEARN ABOUT TRIGONOMETRICAL GRAPHS

                      THANKS......