Answer:
Bottom right graph.
See attachment.
Explanation:
Graph of the parent ceiling function f(x) = ⌈x⌉
The graph of the parent function has:
- open dots at (x, x+1) → (0, 1), (1, 2), (2, 3), etc.
- closed dots at (x, x) → (1, 1), (2, 2), (3, 3), etc.
Each segment is joined with a horizontal line (step).
The open dot means the value is not included, whereas the closed dot means the value is included.
Graph of the ceiling function f(x) = 1/2⌈x⌉
The y-values of the dots will be half those of the parent function.
So the graph of the function has:
- open dots at (x, ¹/₂(x+1)) → (0, 0.5), (1, 1), (2, 1.5), etc.
- closed dots at (x, ¹/₂x) → (1, 0.5), (2, 1), (3, 1.5), etc.
Each segment is joined with a horizontal line (step).