To write a function rule from the table, we need to look for a pattern in the x and y values. Looking at the table, we can see that the x values increase by 2 each time, while the y values decrease by 1 each time. This tells us that the function has a constant rate of change of -1/2.
To write the function rule, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept. From the pattern we found, we know that the slope is -1/2. To find the y-intercept, we can look at the first point on the table, where x = 0 and y = 2. Plugging these values into the equation, we get:
2 = (-1/2)(0) + b
Simplifying, we find that b = 2. Therefore, the function rule for this table is:
y = -1/2x + 2
Explain how to write a function rule from the table below. Then write a function rule.
x: 0, 2, 4, 6
y: 2, 1, 0, -1
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