Chapter 4.2, Problem 77PE

(a)

To determine

To Graph: The function $f(x)=2^x$

(b)

To determine

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

(c)

To determine

The domain and range of $f(x)=2^x$ in interval notation.

(d)

To determine

To Graph: Graph $f^{-1}$ on the same coordinate system as f that is $f(x)=2^x$ and $f^{-1}(x)=\frac{\log x}{\log 2}$

(e)

To determine

The domain and range of $f^{-1}(x)=\frac{\log x}{\log 2}$ in interval notation.

(f)

To determine

From the graph evaluate $f^{-1}(1),f^{-1}(2)$ and $f^{-1}(4)$ for the function

$f^{-1}(x)=\frac{\log x}{\log 2}$