What is the equation for this table?

x / -1 0 1 2 3

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y / 0.75 3 12 48 192

Guest Mar 19, 2017

#1**+1 **

Note that we can write this as an exponential

y = a(m)^x when x = 0 we have

3 = 3(m)^0 so.....a = 3

When x = 1 we have

12 = a (m)^1

12 = 3 (m)^1

12 = 3(m)

So m = 4

So our function is

y = 3 (4)^x

When x = -1 y = 3/4 = 0.75

When x = 2, y = 48

When x = 3, y = 192

CPhill
Mar 19, 2017

#2**0 **

Try plotting out your points and that may also help with finding an equation, though this works mostly only for linear graphs.

HighSchoolCalculus
Mar 19, 2017