Does the table represent an exponential function?
x: 1 2 3 4
y: 3 9 27 81
a)no
b)yes
I would say yes: y = 3^x
oobleck is correct, I got 100%.
If you solve it, y=3^x is sensible
3^1=3
3^2=9
3^3=27
3^4=81
and so on
Great Job, oobleck!
I would agree.
I think it would be no. but i am not positive
Thanks.
Well, it looks like the values of y are multiplying by 3 each time, which can be a telltale sign of an exponential function. So, I would say the answer is b) yes, unless the table is just playing tricks on us!
To determine whether the table represents an exponential function, we need to check if there is a constant ratio between the values of y as x increases.
In this table, when x increases by 1, y increases by a factor of 3. Specifically, y at x=2 is 3 times y at x=1 (3 x 1 = 3), y at x=3 is 3 times y at x=2 (3 x 3 = 9), and y at x=4 is 3 times y at x=3 (3 x 9 = 27). Therefore, there is a consistent multiplicative factor of 3 between the y values for consecutive x values.
Since the values of y are increasing by a constant ratio as x increases, we can conclude that the table represents an exponential function.
Therefore, the correct answer is b) yes.