Answer:
Option C
Step-by-step explanation:
From the table give in the picture,
Let the linear function represented by the table is,
f(x) = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of a line passing through two points (-2, 0) and (1, 3) will be,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{3-0}{1+3}[/tex]
= 1
Equation of the function will be,
f(x) = x + b
Since, a point (1, 3) lies on he given function,
3 = 1 + b
b = 3 - 1
b = 2
Therefore, function is → f(x) = x + 2
Option C will be the correct option.
