Question

Which statement describes the graph?

A. The graph crosses the y-axis at (0, 5), increasing from x = –10 to x = 2 and decreasing from x = 2 to x = 10.
B. The graph crosses the y-axis at (–5, 0), increasing from x = –10 to x = 2 and remaining constant from x = 2 to x = 10.
C. The graph crosses the y-axis at (0, 5), increasing from x = –10 to x = 0 and remaining constant from x = 0 to x = 10.
D. The graph crosses the y-axis at (0, 5), increasing from x = –10 to x = 2 and remaining constant from x = 2 to x = 10.

Answer 1

D. The graph indeed starts with x=-10 and increases constantly until x=2 and then remains consistent until x=10 and passes through the point (0,5)

Answer 2

For this case, the first thing you should observe is that you have a different function in two distinct intervals.
We have then:
For [-10, 2]:
The linear function has a positive slope, therefore it grows and cuts the y-axis at the point (0, 5)
For [2, 10]:
We have a constant function whose equation is:
y = 5
Answer:
D. The graph crosses the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10.