Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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Use the function rule to complete the table.
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4.
To use the function rule to complete the table, we need to plug in each value of x and solve for y using the given equation.
For x = -2:
-10(-2) + y = 4
20 + y = 4
y = -16
Plugging in x = -1, 0, 1, and 2 will give us the remaining values of y:
For x = -1:
-10(-1) + y = 4
10 + y = 4
y = -6
For x = 0:
-10(0) + y = 4
y = 4
For x = 1:
-10(1) + y = 4
-10 + y = 4
y = 14
For x = 2:
-10(2) + y = 4
-20 + y = 4
y = 24
So the completed table is:
x -2 -1 0 1 2
y -16 -6 4 14 24
could you say this easier?
Sure!
To complete the table, we need to find the corresponding values of y for each given value of x. We can use the equation -10x + y = 4 to do this.
For x = -2, we plug in x = -2 and solve for y:
-10(-2) + y = 4
20 + y = 4
y = -16
We repeat this process for x = -1, 0, 1, and 2 to get the remaining values of y:
For x = -1: y = -6
For x = 0: y = 4
For x = 1: y = 14
For x = 2: y = 24
So the completed table is:
x -2 -1 0 1 2
y -16 -6 4 14 24
To complete the table using the function rule: x - 2 - 1 0 1 2 and x + y = 4, we can substitute the values of x in the equation to find the corresponding values of y.
For x = -2:
-2 + y = 4
y = 4 + 2
y = 6
For x = -1:
-1 + y = 4
y = 4 + 1
y = 5
For x = 0:
0 + y = 4
y = 4
For x = 1:
1 + y = 4
y = 4 - 1
y = 3
For x = 2:
2 + y = 4
y = 4 - 2
y = 2
The completed table is:
x -2 -1 0 1 2
y 6 5 4 3 2
To complete the table using the given function rule -10x + y = 4, we will substitute different values for x and solve for y.
Given x values: -2, -1, 0, 1, 2
1. For x = -2:
-10*(-2) + y = 4
20 + y = 4
y = 4 - 20
y = -16
Therefore, when x = -2, y is -16.
2. For x = -1:
-10*(-1) + y = 4
10 + y = 4
y = 4 - 10
y = -6
Therefore, when x = -1, y is -6.
3. For x = 0:
-10*0 + y = 4
0 + y = 4
y = 4
Therefore, when x = 0, y is 4.
4. For x = 1:
-10*1 + y = 4
-10 + y = 4
y = 4 + 10
y = 14
Therefore, when x = 1, y is 14.
5. For x = 2:
-10*2 + y = 4
-20 + y = 4
y = 4 + 20
y = 24
Therefore, when x = 2, y is 24.
The completed table will be as follows:
x | y
---------
-2 | -16
-1 | -6
0 | 4
1 | 14
2 | 24