Chapter 4 - Exponential Functions - 4.2 Comparing Exponential and Linear Functions - Exercises and Problems for Section 4.2 - Exercises and Problems - Page 156: 33

$x<-1.69$ and for $x> 2$

The best approach is to make a plot of both $p(x) = 2+x$ and $q(x) = 2^x$. The graph shows that the two functions intercept in two places. One at $x\approx -1.69$ and at $x= 2$. We see that the graph of $p(x)$ lies below the graph of $q(x)$ for $x<-1.69$ and for $x> 2$.