Sir,
Why is the exponential function e to the power of x an into function but not an onto function
 

Asked by Alekhya K | 30th Jun, 2014, 04:29: PM

Expert Answer:

Consider the following graph:

A function f from X to Y is called onto if for all y in Y there is an x in X such that f (x) = y.

But from the graph it is clear that f(-3)=f(-4)=f(-5)=.....=0

Thus, it is not an onto function and hence it is an into function.

Answered by Vimala Ramamurthy | 1st Jul, 2014, 08:46: AM