Question

The range of f(x)= x/(|x|)

Answer 1

Answer:

{1,0,-1}

Step-by-step explanation:

f(x) = x/|x|

• x/|x| is Called as sgn(x)

f(x) = sgn(x)

• For x > 0

|x| > 0

So, x/|x| = 1

• For x < 0

|x| <0 0

So, x/|x| = -1

• For x = 0

|x| > 0

So, x/|x| = 0

Hence The Range of The Function is {1 ,0 , -1}