4. Set up a table of values:
Y(1) = 1/2x + 5
Y(2) = -2x -1
(x, y(2) (x,y(1)) -2x - 1
8
4
0
-2
(x, y(2) (x,y(1)) -2x - 1
8, -17, (8, 9), -17
4, -9, (4, 7), -9
0, -1, (0, 5), -1
-2, 3, (-2, 4), 3
To set up a table of values for the given equations, you will need to substitute different values of x and calculate the corresponding values of y(1) and y(2).
Let's start by evaluating y(2) = -2x - 1:
For x = 8:
y(2) = -2(8) - 1 = -16 - 1 = -17
For x = 4:
y(2) = -2(4) - 1 = -8 - 1 = -9
For x = 0:
y(2) = -2(0) - 1 = 0 - 1 = -1
For x = -2:
y(2) = -2(-2) - 1 = 4 - 1 = 3
Now, let's evaluate y(1) = (1/2)x + 5:
For x = 8:
y(1) = (1/2)(8) + 5 = 4 + 5 = 9
For x = 4:
y(1) = (1/2)(4) + 5 = 2 + 5 = 7
For x = 0:
y(1) = (1/2)(0) + 5 = 0 + 5 = 5
For x = -2:
y(1) = (1/2)(-2) + 5 = -1 + 5 = 4
Now, we can create the table of values:
(x, y(2), Equation 1: y(1))
8, -17, 9
4, -9, 7
0, -1, 5
-2, 3, 4
This table represents the values of x, y(2), and y(1) for the given equations.
To set up a table of values for the given equations:
1. Start by substituting the given values of x into the equations.
For Y(2) = -2x - 1:
When x = 8:
Y(2) = -2(8) - 1 = -16 - 1 = -17
When x = 4:
Y(2) = -2(4) - 1 = -8 - 1 = -9
When x = 0:
Y(2) = -2(0) - 1 = 0 - 1 = -1
When x = -2:
Y(2) = -2(-2) - 1 = 4 - 1 = 3
For Y(1) = 1/2x + 5:
When x = 8:
Y(1) = 1/2(8) + 5 = 4 + 5 = 9
When x = 4:
Y(1) = 1/2(4) + 5 = 2 + 5 = 7
When x = 0:
Y(1) = 1/2(0) + 5 = 0 + 5 = 5
When x = -2:
Y(1) = 1/2(-2) + 5 = -1 + 5 = 4
2. Now fill in the table using the calculated values:
(x, Y(2), Y(1))
8 -17 9
4 -9 7
0 -1 5
-2 3 4
This is the completed table of values for the given equations.