Answer:
The correct option is 3.
Step-by-step explanation:
From the given table it is noticed that function is passing through the points (1,2), (2,-3), (3,-8) and (4,-13).
The slope of the function on first two point (1,2) and (2,-3) is,
[tex]m_1=\frac{-3-2}{2-1}=\frac{-5}{1}=-5[/tex]
The slope of the function on first two point (2,-3) and (3,-8) is,
[tex]m_2=\frac{-8-(-3)}{3-1}=\frac{-5}{1}=-5[/tex]
The slope of the function on last two point (3,-8) and (4,-13) is,
[tex]m_3=\frac{-13+8}{4-3}=\frac{-5}{1}=-5[/tex]
The slope of function is same form all points.
Since the slope or rate of change is constant and negative, therefore the function is decreasing and linear. Option 3 is correct.
