To write a function rule from the given table, we need to identify the relationship between the input variable (X) and the output variable (Y).
Notice that as X increases by 2, Y decreases by 1. So, we can say that Y is decreasing by 1 for every 2 units of increase in X.
Thus, the function rule can be written as: Y = -0.5X + 2.
To test this rule, substitute the given X values into the formula and verify that the corresponding Y values match the given table.
For example, when X = 0, Y = -0.5(0) + 2 = 2. When X = 2, Y = -0.5(2) + 2 = 1, and so on.
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
6 answers
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
X 0, 2, 4, 6
Y 2, 1, 0, -1
write a function rule for the given table
x 0, 2, 4, 6,
y 2, 1, 0, -1
x 0, 2, 4, 6,
y 2, 1, 0, -1
To write a function rule, we need to identify the pattern or relationship between the input variable (x) and the output variable (y).
Notice that as x increases by 2, y decreases by 1. So, we can say that for every increase of 2 in x, y decreases by 1. We can also see that when x is 0, y is 2. Therefore, the function rule can be written as:
y = -0.5x + 2
To verify this function rule, we can substitute the given x values into the formula and see if the resulting y values match the values in the table. For example, when x is 0, y should be 2. Substituting x=0 into the function rule, we get:
y = -0.5(0) + 2 = 2
This matches the corresponding value in the table. Similarly, we can check the remaining values in the table and confirm that they match the function rule.
Notice that as x increases by 2, y decreases by 1. So, we can say that for every increase of 2 in x, y decreases by 1. We can also see that when x is 0, y is 2. Therefore, the function rule can be written as:
y = -0.5x + 2
To verify this function rule, we can substitute the given x values into the formula and see if the resulting y values match the values in the table. For example, when x is 0, y should be 2. Substituting x=0 into the function rule, we get:
y = -0.5(0) + 2 = 2
This matches the corresponding value in the table. Similarly, we can check the remaining values in the table and confirm that they match the function rule.
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4 answers