Which equation is represented by the function table below?

x: 1, 2, 3, 4
y: 8, 14, 20, 26

∫ ( x ) = 6 x + 2

Answered by MathG33k | 2024-06-10

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;

Answered by crisforp | 2024-06-10

The equation that represents the function table is f ( x ) = 6 x + 2 . This was found by observing the change in y as x increases and solving the resulting system of equations. Each calculation confirmed that the equation correctly produces the given y values.
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Answered by crisforp | 2025-03-04