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Bot To write a function rule from the table, we need to determine the pattern or relationship between the values of x and y. In this case, we can see that as x increases by 2, y decreases by 1. This suggests that the function is linear, with a slope of -1/2 (since for every increase of 2 in x, y decreases by 1).
To write the function rule, we can use the slope-intercept form of a linear equation: y = mx + b. We know that the slope is -1/2, so we can substitute that into the equation: y = -(1/2)x + b. To find the y-intercept, we can use any point on the line (for example, the first one): y = -(1/2)0 + b, which simplifies to y = b. Therefore, the y-intercept is 2.
Putting it all together, the function rule for this table is:
y = -(1/2)x + 2
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