Q. 54.8( 12 Votes )

If a function f: R R be defined by



Find: f(1), f(–1), f(0), f(2).

Answer :

Given


We need to find f(1), f(–1), f(0) and f(2).


When x > 0, f(x) = 4x + 1


Substituting x = 1 in the above equation, we get


f(1) = 4(1) + 1


f(1) = 4 + 1


f(1) = 5


When x < 0, f(x) = 3x – 2


Substituting x = –1 in the above equation, we get


f(–1) = 3(–1) – 2


f(–1) = –3 – 2


f(–1) = –5


When x = 0, f(x) = 1


f(0) = 1


When x > 0, f(x) = 4x + 1


Substituting x = 2 in the above equation, we get


f(2) = 4(2) + 1


f(2) = 8 + 1


f(2) = 9


Thus, f(1) = 5, f(–1) = –5, f(0) = 1 and f(2) = 9.


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