Answer:
The function represented in the table is linear.
Step-by-step explanation:
From the given table it is noticed that function passing through the points (-3,-7), (-2,-4), (-1,-1), (0,2) and (1,5).
The slope or rate of change of the function is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The slope of function for each pair,
[tex]m_1=\frac{-4-(-7)}{-2-(-3)}=3[/tex]
[tex]m_2=\frac{-1-(-4)}{-1-(-2)}=3[/tex]
[tex]m_3=\frac{2-(-1)}{0-(-1)}=3[/tex]
[tex]m_4=\frac{5-2}{1-0}=3[/tex]
Since the rate of change is same for all pairs, therefore the function represented in the table is linear.
