Answer:
a) h(x)
b) q(x)
c) w(x)
Explanation:
Finding the answers for this is easy. Take two values for x that shows a different Y-value for each function on the graph and place them in the equations suggested to see which equation match their Y-value on the graph.
Let's take x = -1 and x = 1.
a) h(x) = | -x + 3 |
| - (-1) + 3| = | 4 | = 4
| - 1 + 3 | = | 2 | = 2
h(x) passes through (-1,4) and (1,2)
b) q(x) = | x | + 3
|-1| + 3 = 4
| 1 | + 3 = 4
q(x) passes through (-1,4) and (1,4)
c) w(x) = | x+ 3 |
| -1 + 3 | = | 2 | = 2
| 1 + 3 | = | 4 | = 4
w(x) passes through (-1,2) and (1,4)