सिद्ध कीजिए कि `f: R to R`
`f(x)={{:(1"," if xgt 0),(0"," if x =0),(1"," if x lt 0):}`
द्वारा प्रदत्त चिन्ह फलन न तो एकैकी है और न आच्छादक है

The function {:(f:R to R:f(x) = 1, if x gt 0),(" "= 0, if x =0),(" "=-1, if x lt0is a):}

The function {:(f:R to R:f(x) = 1, if x gt 0),(" "= 0, if x =0),(" "=-1, if x lt0 is a):}

Draw the graph of the function f(x)={("1 if "xgt0),("0 if "x=0),("-1 if "xlt0):},x inR

If f(x)={(x-1",",xlt0),(1/4",",x=0),(x^2",",xgt0):} , then

Find Lt_(xto0)f(x) where f(x)=f(x)={{:(x-1" if "xlt1),(0" if "x=0),(x+1" if "xgt0):}

Show that the function f: R rarr R given by f(x) = {{:(1,"if" x gt0),(0, "if" x=0),(-1, "if" x lt 0):} is not one - one

Show that the Signum Function f : R rarr R given by f(x) = {(1," if " x gt0),(0," if " x =0),(-1," if " x lt0):} is neither one - one nor onto.

Show that the signum function f : R to R given by: f(x) = {{:(1, if x gt 0),(0, if x =0),(-1, if x lt 0):} is neither one-one nor onto.

Show that the Signum Function f: R to R, given by f (x) ={{:(1, if x gt 0), ( 0, if x =0),(-1, if x lt0):} is neither one-one nor onto.