Given f(x)=2-sgnx.evaluate A)f(-3) Bf(0) C)f(1/2) D)f(4) ?

To evaluate f(x), we substitute the given value of x into the function.

A) f(-3) = 2 - sgn(-3)
The sign of -3 is negative, so sgn(-3) = -1.
Therefore, f(-3) = 2 - (-1) = 2 + 1 = 3.

B) f(0) = 2 - sgn(0)
The sign of 0 is 0, so sgn(0) = 0.
Therefore, f(0) = 2 - 0 = 2.

C) f(1/2) = 2 - sgn(1/2)
The sign of 1/2 is positive, so sgn(1/2) = 1.
Therefore, f(1/2) = 2 - 1 = 1.

D) f(4) = 2 - sgn(4)
The sign of 4 is positive, so sgn(4) = 1.
Therefore, f(4) = 2 - 1 = 1.

So, the answers are:
A) f(-3) = 3
B) f(0) = 2
C) f(1/2) = 1
D) f(4) = 1