Chapter 4.1, Problem 60PE

(a)

To determine

To Graph: To graph the function $f(x)=x^2+1$; $x\le 0$

(b)

To determine

Is f a one-to-one function

(c)

To determine

Domain of the function $f(x)=x^2+1$; $x\le 0$ in interval notation.

(d)

To determine

Range of the function $f(x)=x^2+1$; $x\le 0$ in interval notation.

(e)

To determine

The inverse of the equation for $f(x)=x^2+1;x\le 0$

(f)

To determine

To Graph: Graph $y=f(x)$ and $y=f^{-1}(x)$ on the same co-ordinate system.

(g)

To determine

Domain of $f^{-1}(x)=-\sqrt{x-1}$ in interval notation.

(h)

To determine

Range of $f^{-1}(x)=-\sqrt{x-1}$ in interval notation.