Does the table represent an exponential function?

x 1 2 3 4
y –1 –8 –27 –64, I think it does.

Your function:

y = - x³

- x³ isn't an exponential functionis.

- x³ is a power function.

y = x^x ??

well the exponent is x but the base is not a constant. I would say it does not fit the definition form of
y = a * b^x
where a and b are constants

sorry, I missed, y = -x^3

To determine if the given table represents an exponential function, we need to understand what an exponential function is.

An exponential function is a function where the independent variable (x) appears in the exponent. It can be represented by the equation y = ab^x, where a and b are constants.

Let's analyze the given table:

x | y
--------------
1 | –1
2 | –8
3 | –27
4 | –64

We can observe that as x increases, y decreases. This indicates that the function is likely decreasing exponentially.

To check if it fits the exponential form, we can examine the ratios between consecutive y-values:

y2/y1 = -8 / -1 = 8
y3/y2 = -27 / -8 = 3.375
y4/y3 = -64 / -27 ≈ 2.37

If the y-values were following an exponential pattern, these ratios would be constant. However, we can see that the ratios are not constant, which suggests that the table does not represent an exponential function.

Therefore, based on the analysis, we can conclude that the table does not represent an exponential function.