Question

Neil is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

Answer 1

The truth is they will intersect and let me explain it to you:
f(x) = x^2 + 6x +10
13 = x^2 + 6x+ 10
x^2 + 6x - 3 = 0
Solving the quadratic equations:
The roots of the equation is
x = 0.4641 and
x = -6.4541
That is why we say that It will intersect