Chapter 7.7, Problem 37PPE

To determine

Tostate:Whether the given graph shows an exponential growth function, an exponential decay function, or neither.

Answer to Problem 37PPE

The given graph neither shows the exponential growth function nor the exponential decay function.

Explanation of Solution

Given information:

The given graph is shown in Figure-1 here.

  

Method used:

The graphs of exponential growth function ( $y\left(x\right)=a\cdot b^x$ ), exponential decay function $y\left(x\right)=a\cdot b^{-x}$ are shown in Figure-2a and Figure-2b respectively.

  

Comparison of graphs:

The given graph in Figure-1 is not similar to graph of exponential growth function shown in Figure-2(a) and the graph of exponential decay function shown in Figure-2(b).

Hence, the given graph neithershows the exponential growth function nor the exponential decay function.

The given graph shows a straight line of the form $y\left(x\right)=mx$ .

Conclusion:

The given graph neither shows the exponential growth function nor the exponential decay function.