Use input-output tables to determine which graph accurately represents the function f(x)=1/2x+3 with inputs of -4, -2, 0, 2, and 4.

Answer 1

First, we need to find the outputs for each of the inputs provided using the function f(x)=1/2x+3:

When x = -4:
f(-4) = 1/2(-4) + 3 = -2 + 3 = 1

When x = -2:
f(-2) = 1/2(-2) + 3 = -1 + 3 = 2

When x = 0:
f(0) = 1/2(0) + 3 = 0 + 3 = 3

When x = 2:
f(2) = 1/2(2) + 3 = 1 + 3 = 4

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

Now, let's plot these points on a graph and find the one that accurately represents the function:

Input (-4, 1)
Input (-2, 2)
Input (0, 3)
Input (2, 4)
Input (4, 5)

The graph that accurately represents the function f(x)=1/2x+3 is the one with a straight line going through these points.