Question

Which of the following terms best describes the graph of theexponential function given below?

Answer 1

Solution

- The exponential function is described below:

$\begin{gathered} P=A(b)^x \\ \text{ if }b\text{ is less than 1, then, the graph is decreasing exponentially} \\ \text{ if }b\text{ is greater than 1, then, the graph is increasing exponentially} \end{gathered}$

- Comparing this with the equation given, we have:

$\begin{gathered} A=6 \\ b=\frac{1}{3} \\ \\ \frac{1}{3}<1 \\ \text{ Thus, the graph must be decreasing exponentially} \end{gathered}$

Final Answer

The answer is Decreasing (OPTION B)