CPM Homework Help : PC3 Problem 7-101

Sketch a graph of $f(x)=2^x-3$ . Then evaluate $\lim\limits_ { x \rightarrow \infty } ( 2 ^ { x } - 3 )$ and $\lim\limits_ { x \rightarrow - \infty } ( 2 ^ { x } - 3 )$ .

Hint:

Sketch your graph without a calculator. Then use a calculator to verify whether or not it is correct, identifying and correcting any errors.

The limits are asking what happens to the curve on the far right and the far left.