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CBSE Class 12-science Answered

Sir,
Why is the exponential function e to the power of x an into function but not an onto function
 
Asked by Alekhya K | 30 Jun, 2014, 04:29: PM
answered-by-expert 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 | 01 Jul, 2014, 08:46: AM
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