Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Test - Page 495: 2

(a) (B). (b) (A). (c) (C). (d) (D).

(a) For $y=log_{1/3}(x)$, the base $b=\frac{1}{3}\lt 1$, it is a decreasing function passing $(1,0)$, thus the graph is (B). (b) For $y=e^x$, the base $b=e\gt1$, it is an increasing function passing $(0,1)$, thus the graph is (A). (c) For $y=ln(x)$, the base $b=e\gt1$, it is an increasing function passing $(1,0)$, thus the graph is (C). (d) For $y=(\frac{1}{3})^x$, the base $b=\frac{1}{3}\lt 1$, it is a decreasing function passing $(0,1)$, thus the graph is (D).