Tuesday, September 26, 2017

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 $x \to - \infty$.

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