The equation that represents the function is y = -x - 1
<h3>How to determine the equation of the function?</h3>The complete question is added as an attachment
From the table of values, we have the following points
(x, y) = (-1,0) and (0,-1)
Calculate the slope (m) using
m = (y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (-1 -0)/(0 + 1)
Evaluate the exponent
m = -1
The equation is then calculated as:
y = mx + c
This gives
y = -x + c
Using the point (0,-1), we have:
0 = 1 + c
Solve for c
c = -1
So, we have
y = -x - 1
Hence, the equation that represents the function is y = -x - 1
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