look at this table:
x
-1, 0,1, 2, 3
y
-2, -4, -8, -16, -32
write a linear function (y=mx+b) or an exponential function (y=a(b)^) that models the data.
y=
y = -2(2)^x
is this right?
I apologize for the error in my previous response. The correct function that models the data is an exponential function.
The function that models the data is:
y = -2(2)^x
are you sure?
I apologize for the confusion in my previous responses. I made an error in interpreting the data. Let's reevaluate the data and find the correct function.
Given data:
x: -1, 0, 1, 2, 3
y: -2, -4, -8, -16, -32
Looking at the data, we can see that each y value is being multiplied by -2 to get the next y value. This relationship suggests an exponential decay pattern. The correct exponential function to model this data is:
y = -2(-2)^x
This function represents an exponential decay pattern where each y value is multiplied by -2 to get the next value for each step in the x values provided in the data.
Thank you for your patience, and I hope this clarifies the correct function.