The first part of the function rule for the values in the table below is y=x/2 what is the complete function rule
X. Y
6. 2
8. 3
10. 4
12. 5
Y=x/2+1
Y=x/2-1
Y=x/2x2
Y=x/2-2
The correct answer is Y=x/2+1.
To find the complete function rule, we need to look at the relationship between the input values (x) and the output values (y) in the table. We can see that the output values are always 1 more than half of the input values.
So, we can write the complete function rule as:
y = x/2 + 1
To find the complete function rule, we need to analyze the relationship between the values of x and y in the table.
Looking at the table, we can see that the value of y is always equal to half of x plus a constant term. This means that the function rule is in the form y = (x/2) + k, where k represents the constant term.
To determine the constant term, we can use any pair of values from the table and substitute them into the equation. Let's use the first pair with x = 6 and y = 2:
2 = (6/2) + k
2 = 3 + k
To solve for k, we can subtract 3 from both sides of the equation:
2 - 3 = k
-1 = k
So, the constant term is -1.
Therefore, the complete function rule is y = (x/2) - 1.
The given table shows a relationship where the values of y are equal to half of the corresponding values of x. To find the complete function rule, we need to determine the second part of the rule.
From the table, we can see that when x = 6, y = 2. This suggests that an additional 1 is added to the value of y.
Therefore, the complete function rule for the values in the table is:
y = (x/2) + 1