Find the range of the function (x^2 +14x+9)/(x^2 + 1) as x varies over all real numbers.
( x^2 + 14x + 9) / ( x^2 + 1)
This function is continous because no real number makes the denominator = 0
See the graph here : https://www.desmos.com/calculator/34h1ajzafs
The range is approx. [ -3.062, 13.062 ]