SOLUTION: Consider the sign function below, evaluate f(237). f(x)=sgn x={(1,for x >0@0.for x =0@-1,for x <0)┤

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Question 1199884: Consider the sign function below, evaluate f(237).
f(x)=sgn x={(1,for x >0@0.for x =0@-1,for x <0)┤
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52920) About Me  (Show Source):
You can put this solution on YOUR website!
.

Since 237 > 0, the sign function equals 1, by its definition.


f(237) = 1.    ANSWER

Solved.



Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

"sign function" is also known as "signum function".

In my opinion, the name "signum" is better than "sign" because the second option sounds identical to "sine".

There are 3 cases with the signum function.
  1. If the input is positive, then output = 1
  2. If the input is 0, then output = 0
  3. If the input is negative, then output = -1
We want to evaluate f(237).
The input is 237 and it is positive.
We go for scenario A.

f(237) = 1

Answer: 1