: The graph of f(x) =(( x+7)^(1/3)-2)/(x-1) has a hole. Your task is to determine the location ofthis hole using approximation techniques (no fancy limit computations allowed).1. Were going to use x-values to produce approximations to the height of the hole (that is, they-coordinate of the hole).(a) Find an approximation to the height of the hole, and write it with several decimal places. Use function notation to indicate what x-value your approximation came from.(b) How do you know the y-value you gave above is close to the y-value of the hole?(c) Is this an underestimate or overestimate? Explain how you know.(d) If your first approximation was an underestimate, find a second approximation that is an overestimate, and vice versa. 3. The error for an approximation is the distance between the approximation and the unknown value (in other words, its how far off your approximation is).NOTE: It is a very common mistake to say that the hole in the graph is the error. This is not true. The y-value of the hole in the graph is the unknown value, and the distance between the unknown value and an approximation is the error of that approximation.(a) Illustrate the error for your two approximations on your graph.(b) Explain why you cant determine the numerical values of these errors.(c) What is an algebraic representation for the error in your approximations?4. For any given pair of approximations, wed like to find a bound on the error, or, in otherwords, an error bound that is, a number that we are certain is larger than either error.(a) Use your underestimate and overestimate from #1 to find an error bound for these twoapproximations.(b) How do you know the number you gave above is larger than either error?(c) Illustrate this error bound on your graph.