Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.5 - Page 571: 24

please see image .

1. The inequality sign is $\leq $, so we draw a solid border 2. The border, $y=3^{x}$ is an exponential function, base $>1,$ Plot some points (see table) and join with a smooth (solid) curve 3. Test the point $(0,0)$ $ 0 \leq 3^{0}\quad ?$ $0 \leq 1\quad ?$ Yes 4. Shade the region that the origin belongs to.