0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

"If \\( f ( x + y ) = f ( x ) + f ( y ) \\) for all \\( x , y \\in R , \\) then\n\\( \\begin{array} { l } { \\text { (A) } f ( x ) \\text { is an odd function } } \\\\ { \\text { (C) } f ( x ) \\text { is neither odd nor even function } ( D ) } & { f ( 0 ) = 0 } \\end{array} \\)"

Solution
Verified by Toppr



Was this answer helpful?
0
Similar Questions
Q1
If F=^iFx+^jFy+^kFz is conservative, then
View Solution
Q2
Let f(x+y)=f(x)+f(y) for all x,y & if the function f(x) is continuous at x=0, then f(x) is continuous at all x.
View Solution
Q3
Let f(x+y)=f(x)+f(y) for all x, yR. If f(x) is continue at x=0 show that f(x) is continuous at all x
View Solution
Q4
If f(x) satisfies the relation f(x+y)=f(x)+f(y) for all x,yR, and f(1)=5, then
View Solution
Q5
Let f(x+y)=f(x)+f(y) for all x and y. If the function f(x) is continuous at x=0, show that f(x) is continuous for all x.
View Solution