Does the table represent an expoential function?
x 1 2 3 4
y -1 -8 -27 -64
yes or no
my answer is no
No
Thank you
To determine whether the table represents an exponential function, we need to check if the y-values (output values) increase or decrease at a constant rate as the x-values (input values) increase by a constant amount.
In this case, let's analyze the differences between consecutive y-values:
1st difference: -8 - (-1) = -7
2nd difference: -27 - (-8) = -19
3rd difference: -64 - (-27) = -37
As we can see, the differences between the y-values are not constant. In an exponential function, the differences between the y-values should either be constant or follow a specific pattern, such as doubling or tripling each time.
Since the differences between the y-values are not consistent, we can conclude that the table does not represent an exponential function. Therefore, your answer, "no," is correct.