Does the table represent an exponential function?
x | y
1 | -1
2 | -8
3 | -27
4 | -64
a. yes
b. no***
y = - x^3
no
y = -3^x would be but not this
right
the equation is y = -(x)^3 , which is not exponential
To determine if the table represents an exponential function, we need to check if there is a constant ratio between the y-values (output) for consecutive x-values (input).
In this case, let's calculate the ratio between consecutive y-values:
-8 / -1 = 8
-27 / -8 = 3.375
-64 / -27 = 2.37
As we can see, the ratios are not constant. In an exponential function, the ratios between consecutive y-values should remain the same.
Therefore, the correct answer is option b) no.