Single Variable Calculus, Chapter 7, 7.2-1, Section 7.2-1, Problem 6

How are the graphs of $y = 0.9^x, y = 0.6^x, y = 0.3^x$ and $y = 0.1^x$ related. Graph them on the same plane.







Based from the graph, all functions pass through the point $(0,1)$. Since they all have positive exponents, it means that the functions are all increasing. Also, all the functions approaches as $x \to \infty$ and approaches $\infty$ as $x \to - \infty$.