Chapter 6.3, Problem 8E

To determine

To find: the nature of the graph,

Answer to Problem 8E

Given graph representing exponential function.

Explanation of Solution

Given information :

Given a graph,

Calculation:

Given points of the graph are, $\left(x,f(x)\right)=\left\{(-3,0.25),(-2,1),(-1,4),(0,8)\right\}$ .

Therefore the difference of each terms,

  $1-0.25=0.75,4-1=3,8-4=4$

Which are not constant. So it cannot represent linear function.

Now the common ratio,

  $\frac{1}{0.25}=4,\frac{4}{1}=4,\frac{8}{4}=4$

We can see there is a common ratio $4$ to reach the next term. Hence the given graph can represent exponential function.