F(x)= x+2 if x<0

2 if 0≤x≤1

3-1 if 1<x

Find the following:

f(-3)=_____

f(0)=_____

f(4)=_____

can someone explain this problem to me please!

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- Sep 30th 2007, 07:57 PMrsultanapiecewise defined function help!
F(x)= x+2 if x<0

2 if 0≤x≤1

3-1 if 1<x

Find the following:

f(-3)=_____

f(0)=_____

f(4)=_____

can someone explain this problem to me please! - Sep 30th 2007, 08:04 PMJhevon
i'll do the first.

f(-3) means we want the value of the function when x = -3. since this is a piece-wise defined function, i have to look for what formula gives the value of the function at x = -3. clearly, x < 0 is the only interval that covers x = -3, so i look at the formula for that interval, which is x + 2.

thus, f(-3) = (-3) + 2 = -1

now do the rest - Sep 30th 2007, 08:18 PMrsultana