What is the equation for this table?
x / -1 0 1 2 3
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y / 0.75 3 12 48 192
+129845 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
+1491 Try plotting out your points and that may also help with finding an equation, though this works mostly only for linear graphs.
