Question

A function is represented by the values in the table.

Answer 1

You need to make sure all of the equations are proportional and if not than it isn’t.

Answer 2

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

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of function for each pair,

$m_1=\frac{-4-(-7)}{-2-(-3)}=3$

$m_2=\frac{-1-(-4)}{-1-(-2)}=3$

$m_3=\frac{2-(-1)}{0-(-1)}=3$

$m_4=\frac{5-2}{1-0}=3$

Since the rate of change is same for all pairs, therefore the function represented in the table is linear.