Question

given the funcion F(x)=(x-1)^2/x^2+1

a) find the domain of the function in interval notation

b)Find the intercepts of the function. All work must be shown. Write your answer as ordered pair.

c) Find the equation of any asymptote.All work must be shown

d)Find the critical numbers.All work must be shown

e)Use the first derivative test to find the interval of increasing and decreasing. All work must be shown

f) Find the ordered pairs of the local maximum and minimum

g) Use the second derivative test to find the intervals of concavity and any inflection points. All work must be shown Including the number line with test numbers.

h) Graph the function on the grid provided. Label any intercepts, asymptotes,maxima,minima, and inflection points

Please read the directions for each problem carefully. You may work together and receive help on this exam; however, each student must turn in his or her own exam. This exam is due by 11:30am on Monday November 27th. Late exams will not be accepted. If you are unable to attend class on Monday November 27th, you must scan and email the exam to me by 11:30am (11 points) Given the function f(x) =- (a) Find the domain of the function in interval notation. (x-1)2 x2+1 I. Answer (in interval notation):0o o (b) Find the intercepts of the function. All work must be shown. Write your answers as ordered pairs. o Answer(s) (written as ordered pairs): L101-10.1) (c) Find the equations of any asymptotes. All work must be shown. L91 C110) Answer(s) (written as equations) (d) Find the critical numbers. All work must be shown