Question

consider this linear function
Y=1/2x+1
plot all the ordered pairs for the values in the domain
D:{-8,-4,0,2,6}

Answer 1

To find the ordered pairs for the given linear function, we need to substitute each value in the domain (D) into the function and solve for y.

For each x-value in the domain:
1. Substitute the x-value into the function: Y = 1/2x + 1
2. Solve for y.

Let's calculate the ordered pairs for each x-value in the domain:

1. x = -8
Y = 1/2(-8) + 1
= -4 + 1
= -3
Ordered pair: (-8, -3)

2. x = -4
Y = 1/2(-4) + 1
= -2 + 1
= -1
Ordered pair: (-4, -1)

3. x = 0
Y = 1/2(0) + 1
= 0 + 1
= 1
Ordered pair: (0, 1)

4. x = 2
Y = 1/2(2) + 1
= 1 + 1
= 2
Ordered pair: (2, 2)

5. x = 6
Y = 1/2(6) + 1
= 3 + 1
= 4
Ordered pair: (6, 4)

So, the ordered pairs for the given linear function are:
(-8, -3)
(-4, -1)
(0, 1)
(2, 2)
(6, 4)