Find two distinct linear functions which map the interval $\left[-1,1\right]$ onto $\left[0,2\right]$.

(i) $f\left(x\right)\ne b$

(ii) $f\left(y\right)=b$

(iii) $f\left(z\right)\ne a$

Find the function $f$ (as ordered pair).

$f\left(x\right)=\log \left(x+\sqrt{1+x^2}\right)$

Find whether the following functions are even or odd or none:

$f\left(x\right)=\frac{x\left(a^x+1\right)}{a^x-1}$

Find whether the following functions are even or odd or none:

$f\left(x\right)=\sin x+\cos x$

Find whether the following functions are even or odd or none:

$f\left(x\right)=K$, where $K$ is constant

Find whether the following functions are even or odd or none:

$f\left(x\right)=\frac{{\left(1+2^x\right)}^2}{2^x}$

Find whether the following functions are even or odd or none:

$f\left(x\right)={\left[{\left(x+1\right)}^2\right]}^{1/3}+{\left[{\left(x-1\right)}^2\right]}^{1/3}$

$f\left(x\right)={\sin }^{4}x+{\cos }^{4}x$