Chapter 7.7, Problem 36PPE

To determine

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

Answer to Problem 36PPE

The given graph shows the exponential function of the form $y\left(x\right)=a\cdot b^x$ .

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 similar to the graph of exponential growth function shown in Figure-2(b).

Hence, the given graph represents the exponential function of the form $y\left(x\right)=a\cdot b^x$ .

Conclusion:

The given graph shows the exponential function of the form $y\left(x\right)=a\cdot b^x$ .