You can
put this solution on YOUR website!SEE THE FOLLOWING EXAMPLE TO UNDERSTAND WHAT IS A FUNCTION
USING THAT WE GET THE ANSWERS AS FOLLOWS
a. f(x) = 2 if x>1
f(x) = -1 otherwise
WE HAVE UNIQUE IMAGES FOR EACH X..THAT IS GIVEN ONE VALUE FOR X ,THERE IS ONLY ONE IMAGE...SO IT IS A FUNCTION.(IN CASE OF SQUARE ROOT OF X FOR EXAMPLE ,X=4 HAS 2 IMAGES +2 AND -2 AND SO IT IS NOT A FUNCTION)DIFFERENT VALUES OF X CAN HAVE SAME IMAGES,BUT SAME VALUE OF X CANNOT HAVE MORE THAN ONE IMAGE.
b. f(x) = 5 if x>0
f(x) = -5 if x<0
f(x) = 5 or -5 if x = 0...THIS IS NOT A FUNCTION.SINCE FOR X=0 ,THERE ARE 2 IMAGES 5 OR -5.
c. f(x) = 10/x...IT IS A FUNCTION,FOR REASON EXPLAINED ABOVE ,IF WE CONSIDER THE DOMAIN EXCLUDING X=0 AS THE FUNCTION IS NOT DEFINED AT X=0
is a squared number a function of a number? can a squared number be reduced?
1 solutions
Answer 14431 by venugopalramana(826) About Me on 2006-02-05 11:02:48 (Show Source):
is a squared number a function of a number?
YES..SINCE Y=X^2...GIVES UNIQUE IMAGES...THAT IS SAME VALUE OF X WILL NOT GIVE RAISE TO 2 DIFFERENT VALUES OF Y.THAT IS Y1 IS NOT EQUAL TO Y2 ,IT IMPLIES X1 IS NOT EQUAL TO X2.
can a squared number be reduced?DO YOU MEAN FINDING A QUARE ROOT...IN THAT CASE YES IF SQUARED NUMBER IS POSITIVE..PLEASE CLARIFY WHAT YOU MEAN BY REDUCED?
