A function f:\mathbb{R}\to\mathbb{R} is such that f(1)=2 and f(x+y)=f(x).f(y)\forallx,y. The area (in square units) enclosed by the lines 2|x|+5|y|\leq4 expressed in terms of f(1), f(2) and f(4) is

TS EAMCET 10-Sep-2020 Shift 2 Solved Paper

Section: Mathematics

Question : 44 of 160

Marks: +1, -0

A function f:ℝ→ℝ is such that f(1)=2 and f(x+y)=f(x).f(y)‌∀x,y. The area (in square units) enclosed by the lines 2|x|+5|y|≤4 expressed in terms of f(1),f(2) and f(4) is

f(4)
f(1)+2f(2)
f(4)
1+f(2)
2f(4)
2f(1)+f(2)
f(4)
2f(1)+f(2)

Validate

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