Posted by Shadow on Saturday, February 9, 2013 at 9:40pm.
Solve the piece wise function when f(17)
f(x) = f(x-3)+2 if x > 10
-5 if x <= 10
Would the answer be 1? Thanks
- Math - Shadow, Saturday, February 9, 2013 at 10:17pm
I believed the answer is 16 but computer teacher is telling me it 1. Thanks
- Math - Reiny, Saturday, February 9, 2013 at 10:53pm
when x = 17
f(17) = f(14) + 2
f(14) = f(11) + 2
f(11) =f (8) + 2
but f(8) = -5 , since x ≤ 10
so f(11) = -5+2 = -3
f(14) = -3+2 = -1
f(17) = -1+2 = +1
- Math - Shadow, Saturday, February 9, 2013 at 10:57pm
Let say the other function is
x-2 , if x < 0
x^2 + 1 , if x >= 0
f(-4) would be -6? I kind of not understand why do we keep going down the value. Thanks
- Math - Reiny, Saturday, February 9, 2013 at 11:18pm
In this last example your function is well defined as
f(x) = x-2 or x<0 and f(x) = x^2 + 1 for x≥0
so f(-4) simply falls in the first part
f(x) = x-2
f(-4) = -4 - 2 = -6 , so you are right.
Your first problem did not have f(x) defined explicitly.
It was defined in terms of f(x-3)
so we had to find values step-by-step
- Math - Shadow, Saturday, February 9, 2013 at 11:38pm
Oh, thanks you so much! I did not realize f(x-3) and (x-3) make such different.
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