Answer:
8. y ≤ |x - 3| -1
9. A. -5
Step-by-step explanation:
8. The function: |x - 3| -1, is the function: |x|, translated 3 units to the right and 1 unit down, just like it is seen in the picture.
To know if the shaded area corresponds to
y ≤ |x - 3| -1
or
y ≥ |x - 3| -1
just replace with one point, for example (0, 1) is in the shaded area.
|0 - 3| -1 = 3 - 1 = 2
1 < 2, then:
y ≤ |x - 3| -1 is correct
9. Given:
f(x) = x - 8
f(x) = -13
Then:
x - 8 = -13
x - 8 + 8 = -13 + 8
x = -5