#### To determine

**To find**: Value of C and b for the given function fx=Cbx.

#### Answer

**Answer: fx=213x**

#### Explanation

Graph of fx=Cbx and two points 0,2, 2,2/9 , which means that the value of the given function is 2 at the point x=0 and the value of the function is 2/9 at the point x=2.

Since given points are (0,2) and (2,2/9), f0=2 and f2=2/9.

Now as f0=2, therefore

2=Cb0 i.e., C=2.

Also as f2=2/9, therefore

Cb2=29…………. (A)

Put value of C in equation (A), we get b2=19, i.e.,b=±13. Since b is positive, we take b=13. **Conclusion:** Therefore, fx=213x.