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=(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=(1)/(5) \cdot 3^x=(1)/(5) \cdot 3^0=(1)/(5) \cdot 1=(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.