Question

which equation is represented by the function table below?          x's are 1,2,3,4              y's are 8,14,20,26     

Answer 1

F: R -> R, f(x) = ax + b;
f(1) = 8 => a + b = 8;
f(2) = 14 => 2a + b = 14 => a = 6 and b =2;
f(3) = 20 => 6*3 + 2 = 20 True;
f(4) = 26 => 4*6 + 2 = 26 True;

then, f:R -> R, f(x) = 6x + 2;

Answer 2

$\int\limits{(x)} = 6x + 2$