Complete the table for the function `y=\frac{1}{2}x+4`.

x:−3, 0, 2, 7
y:?,?,?,?

1 answer

To complete the table, we need to plug in the given x-values into the function y = 1/2x + 4 and solve for y.

1. When x = -3:
y = 1/2(-3) + 4
y = -3/2 + 4
y = -3/2 + 8/2
y = 5/2

When x = -3, y = 5/2

2. When x = 0:
y = 1/2(0) + 4
y = 0 + 4
y = 4

When x = 0, y = 4

3. When x = 2:
y = 1/2(2) + 4
y = 1 + 4
y = 5

When x = 2, y = 5

4. When x = 7:
y = 1/2(7) + 4
y = 7/2 + 4
y = 11/2 + 8/2
y = 19/2

When x = 7, y = 19/2

Therefore, the completed table is:

x: -3, 0, 2, 7
y: 5/2, 4, 5, 19/2