HiNTS:
It is increasing when the gradient of the tangent is positive i.e. \(\frac{dy}{dx}>0\)
It is decreasing when the gradient of the tangent is negative i.e. \(\frac{dy}{dx}<0\)
It is even if it is symmetrical around the y axis, which is the line x=0 SO \(f(-x)=f(x)\)
It is odd if it is has 180 degree rotational symmetrical around the (0,0), SO \(f(-x)=-f(x)\)
It is invertible is both the original and the inverse are functions. This happens when:
It is invertible is the gradient is always increaing or always decreasing, 0 is ok too.
\(\frac{dy}{dx}\ge0\quad or \quad\frac{dy}{dx}\le0 \qquad \text{ for all real values of x}\)
Now you can do them yourself :)
+118608 
