Question

define signum function . draw the graph of the signum function . write the domain n range of the function .​

Answer 1

Answer:

hope it helps you dear......

Answer 2

Signum function is defined as

f ( x ) = signum ( x ) =  { -1 , x < 0

                                    0 , x = 0

                                    1 , x > 0 }

The graph is uploaded in the attachment.

The domain of signum function is |R , which is set of all real numbers. It mean x can take any value in |R. Signum function is defined for all x .

Range of signum function is { -1 , 0 , 1 } since it only takes these three values.

From the graph , we can infer that,

• Signum function is continuous everywhere except at x = 0.
• Signum function is not differentiable at x = 0.