Question

Graph the function. y = 1/5 (3)^x Graph A. B. C. or D?

Answer 1

The function $y=3^x$ is incresing and have positive values for all x. Then the function $y=\dfrac{1}{5}\cdot 3^x$ is also increasing and have positive values for all x. This means that options B (values are negative) and D (function is decreasing) are incorrect.

At x=0, $y=\dfrac{1}{5} \cdot 3^x=\dfrac{1}{5} \cdot 3^0=\dfrac{1}{5} \cdot 1=\dfrac{1}{5}$.

In option A graph of the function passes through point (0,y), where y is near 3. In option C graph of the function passes through point (0,y), where y is near 1/5. So, you can conclude that the option C is correct.