If the following functions are defined from `[-1,1]to[-1,1],` select those which are not bijective. (a)`sin(sin^(-1)x)` (b) `2/pisin^(-1)(sinx)` (c)`(sgn(x))ln(e^x)` (d) `x^3(sgn(x))`

If the following functions are defined from [-1,1]to[-1,1], select those which are not bijective. sin(s in^(-1)x) (b) 2/pisin^(-1)(sinx) (sgn(x))1N(e^x) (d) x^3(sgn(x))

sgn(x^(2)-1)=(x+1)^(2)

Which of the following pairs of function are identical? a. f(x)=e^(In sec^(-1)x) " and " g(x)=sec^(-1)x b. f(x)=tan(tan^(-1)x) " and " g(x)=cot(cot^(-1)x) c. f(x)=sgn(x) and g(x)=sgn(sgn(x)) d. f(x)=cot^(2)*cos^(2)x " and " g(x)=cot^(2)x-cos^(2)x

Find the inverse of the function f: [-1,1] to [-1,1],f(x) =x^(2) xx sgn (x).

Find the inverse of the function f: [-1,1] to [-1,1],f(x) =x^(2) xx sgn (x).

Find the inverse of the function f: [-1,1] to [-1,1],f(x) =x^(2) xx sgn (x).

Find the inverse of the function f: [-1,1] to [-1,1],f(x) =x^(2) xx sgn (x).

int_(-1)^(3)sgn(x-[x])dx

For the following functions write the piecewise definition and draw the graph (i) f(x)=" sgn "(log_(e)x) " (ii) "f(x) = " sgn "(sin x)

For the following functions write the piecewise definition and draw the graph (i) f(x)=" sgn "(log_(e)x) " (ii) "f(x) = " sgn "(sin x)