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.