Chapter 4.1, Problem 59PE

(a)

To determine

To graph: The graph of the function, $f(x)=x^2-3$$x\le 0$.

(b)

To determine

Is $f(x)=x^2-3$ one-to-one function.

(c)

To determine

Domain of the function $f(x)=x^2-3$,$x\le 0$ in interval notation.

(d)

To determine

Range of the function $f(x)=x^2-3$ interval notation.

(e)

To determine

$f^{-1}(x)$ for the function $f(x)=x^2-3;x\le 0$

(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 the function,$f^{-1}(x)=-\sqrt{x+3}$ in interval notation.

(h)

To determine

Range of the function $f^{-1}(x)=-\sqrt{x+3}$ in interval notation.