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Let f: R  R be defined as                                                                  



Show that f is not a function.

Asked by Topperlearning User 1st August 2014, 8:52 AM
Answered by Expert
Answer:
W h e n space x less than 5 comma space w e space h a v e space f open parentheses x close parentheses equals 3 x plus 4
W h e n space x greater than 5 comma space w e space h a v e space f open parentheses x close parentheses equals x plus 5
B u t space w h e n space x equals 5 comma space w e space h a v e comma space f open parentheses 5 close parentheses equals 3 open parentheses 5 close parentheses plus 4 equals 19
A l s o comma space f open parentheses 5 close parentheses equals 5 plus 5 equals 10
I t space i s space c l e a r space t h a t space f open parentheses 5 close parentheses space i s space n o t space u n i q u e l y space d e t e r m i n e d space a n d
h e n c e space f space i s space n o t space a space f u n c t i o n.
Answered by Expert 1st August 2014, 10:52 AM
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