CPM Homework Help : PC Problem 5-59

Sketch the graph of $f\left(x\right) = 2^{x} − 3$ and then evaluate $\lim\limits_ { x \rightarrow \infty } ( 2 ^ { x } - 3 )$ and $\lim\limits_ { x \rightarrow - \infty } ( 2 ^ { x } - 3 )$ .

Hint:

The graph of $f\left(x\right) = 2^{x}$ was given in problem 5-58.
How does the $−3$ transform the graph?

Step:

Use the graph to evaluate the limits.