#2**+2 **

Explanation: If the graph intersects the x-axis, then y must equal 0. We have the equation , \(f(x) = y\)which becomes \(f(x) = 0\). The function will be equal to 0 when the opposite of\(x\) is added to it (when added, cancels out each other to make 0). When x = -3, we can add 3 to make f(x) = 0, and when x = 5, we can subtract 5 to make f(x) = 0. We have our equation for f(x): \(\boxed{f(x) = (x+3)(x-5)}\).

Hope this helps,

- PM

PartialMathematician
Nov 22, 2018