Explanation:
Based on the values in the table, we can find the slope (m) and y-intercept (b) of the linear function.
Using the points (-2, -4) and (-1, 0), the slope can be calculated as follows:
m = (change in y) / (change in x) = (0 - (-4)) / (-1 - (-2)) = 4
Using the point (-2, -4) and the slope (m = 4), we can find the y-intercept (b) using the equation y = mx + b:
-4 = 4(-2) + b
-4 = -8 + b
b = 4
Therefore, the linear function b(x) can be written as:
b(x) = 4x + 4