Let f:R\toR be defined by f({x+y}/2)={f(x)+f(y)}/2 for all x and y. If f'(0) exists and equals -1 and f(0)=1, then f(2)=

TS EAMCET 14-Sep-2020 Shift 2 Solved Paper

Section: Mathematics

Question : 66 of 160

Marks: +1, -0

Let f:R→R be defined by f(

x+y

f(x)+f(y)

for all x and y. If f′(0) exists and equals -1 and f(0)=1, then f(2)=

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