193k views
1 vote
Find a formula for the exponential function passing through the points (-2, 4/9) and (3,108)

User PullJosh
by
8.0k points

2 Answers

5 votes
F(x)= 4^3 this is because when following the delta method then plugging it into an equation this would be the answer
User Hyojin
by
8.4k points
6 votes

Answer:


f(x)=4(3)^x

Explanation:

Let
f(x)=ab^x.

Then,


ab^(-2)=(4)/(9) \\ \\ ab^3=108 \\ \\ (ab^3)/(ab^(-2))=(108)/(4/9) \implies b^5=243 \implies b=3 \\ \\ \therefore a(3)^3=108 \\ \\ a=4 \\ \\ \therefore f(x)=4(3)^x

User Realshadow
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories