Show that the Signum Function `f : R- gt R ,` given by `f(x)={1,ifx gt 0 0,ifx=0-1, ifx lt 0` is...

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Show that the Signum Function `f : R-R ,`given by `f(x)={[1 if x gt 0], [0 if x=0],[-1 if x lt 0] Show that the Signum Function `f : R-R ,`given by `f(x)={[1 if x gt 0], [0 if x=0],[-1 if x lt 0]
Show that the Signum Function \( f: \mathbf{R} \rightarrow \mathbf{... Show that the Signum Function \( f: \mathbf{R} \rightarrow \mathbf{...
Show that the Modulus Function `f : R- gt R ,` given by `f (x) = | x |` , is neither one-one nor... Show that the Modulus Function `f : R- gt R ,` given by `f (x) = | x |` , is neither one-one nor...
Show that the functions `f: R_*- gt R_*` defined by `f(x)=1/x` is one-one and onto. where R* is ... Show that the functions `f: R_*- gt R_*` defined by `f(x)=1/x` is one-one and onto. where R* is ...
Let `f: R- gt R` be defined as `f(x)=x^4` . Choose the correct answer. (A) f is one-one onto (B)... Let `f: R- gt R` be defined as `f(x)=x^4` . Choose the correct answer. (A) f is one-one onto (B)...
Let `f : R- gt R` be defined as `f(x) = 3x` . Choose the correct answer. (A) f is one-one onto (... Let `f : R- gt R` be defined as `f(x) = 3x` . Choose the correct answer. (A) f is one-one onto (...
The function f is defined by `f(x) ={1-x ,x lt 0 1,x=0x+1,x gt 0` Draw the graph of f(x).... The function f is defined by `f(x) ={1-x ,x lt 0 1,x=0x+1,x gt 0` Draw the graph of f(x)....
Prove that the Greatest Integer Function `f : R- gt R ,` given by `f (x) = [x]` , is neither one... Prove that the Greatest Integer Function `f : R- gt R ,` given by `f (x) = [x]` , is neither one...