Does the table represent an exponential function?
x 1 2 3 4
y –1 –8 –27 –64
a. yes b. no***
correct. y = -x^3, which is a polynomial, not an exponential.
Yes
To determine if the table represents an exponential function, we need to observe the relationship between the x-values and the corresponding y-values.
In an exponential function, the y-values are obtained by raising a constant base (the base could be any positive number except for 1) to the power of the x-value. Let's check if the table follows this pattern.
For example, if we have an exponential function with the base 2, the y-values would be obtained by raising 2 to the power of the x-value. So, the y-values would look like this:
x 1 2 3 4
y 2^1 2^2 2^3 2^4
Now let's compare the given table with this pattern:
x 1 2 3 4
y –1 –8 –27 –64
The table does not follow the pattern of an exponential function. The y-values are not obtained by raising a constant base to the power of the x-value. Therefore, the correct answer is b. no.