What exponential function is the best fit for the data in the table?

x f(x)
3 10
4 16
5 28

f(x) = 3(2)^(x − 2) + 4
f(x) = 3(2)^(x − 2) − 4
f(x) = 1/3(2)^(x − 2) + 4
f(x) = 1/3(2)^(x− 2) − 4

Question

What exponential function is the best fit for the data in the table?

x	f(x)
3	10
4	16
5	28

f(x) = 3(2)^(x − 2) + 4
f(x) = 3(2)^(x − 2) − 4
f(x) = 1/3(2)^(x − 2) + 4
f(x) = 1/3(2)^(x− 2) − 4

anonymous · Answer

@sammixboo

sammixboo · Answer

Let's start with $\tt \color{red}{f(x)=3(2)^{(x − 2)} + 4}$

We can plug in 3 for$\tt \color{red}{x}$, and 10 for $\tt \color{red}{f(x)}$, and see if the equation it true.

$\tt \color{red}{10=3(2)^{(3 − 2)} + 4}$  $\leftarrow$ Is this true?

sammixboo · Answer

If you are unsure if it is true, we can work it out and see.

anonymous · Answer

10= 6^(1)+4
10= 6 + 4
10 = 10 YES

sammixboo · Answer

:) So your answer is A

anonymous · Answer

Thank You Sammi you are really smart!

sammixboo · Answer

Make sure you do the exponent first when solving a problem. It was ok to do the multiplying first, but next time make sure to solve the numbers with the exponents

anonymous · Answer

Okay will do!