Question

Consider this linear function: I=1/2 ​x+1. Plot all ordered pairs for the values in the domain. D. (-8, -4, 0, 2, 6)

Answer 1

To plot the ordered pairs for the given linear function I = 1/2x + 1, substitute the x-values into the equation and calculate the corresponding y-values. Then, plot these ordered pairs and connect them to visualize the linear function.

Step-by-step explanation:

To plot the ordered pairs for the values in the domain, we need to substitute the given x-values into the equation I = 1/2x + 1. Let's calculate the corresponding y-values for each x-value:

1. For x = -8, I = (1/2)(-8) + 1 = -4 + 1 = -3. So the ordered pair is (-8, -3).
2. For x = -4, I = (1/2)(-4) + 1 = -2 + 1 = -1. So the ordered pair is (-4, -1).
3. For x = 0, I = (1/2)(0) + 1 = 0 + 1 = 1. So the ordered pair is (0, 1).
4. For x = 2, I = (1/2)(2) + 1 = 1 + 1 = 2. So the ordered pair is (2, 2).
5. For x = 6, I = (1/2)(6) + 1 = 3 + 1 = 4. So the ordered pair is (6, 4).

Now we can plot these ordered pairs on a graph and connect them to visualize the linear function.