Precalulus

1. Let x] = 3:"1 n E N. For the following questions, you may need to consider cases for different values of n. (a) What's the domain of f? (in) What's the range of f? (c) Determine the :r- and yinteroepts, if they exist. (d) Does the graph of I have any symmetry? If so, describe or name the type of symmetry, and justify algebraically [not graphically). (e) Find the average rate of change of f on [[1,2]. (1') Find the equation of the secant line passing through (0, HM) and (2, f(2)). (g) Approximate the instantaneous rate of change of f at :r = 1. (h) Estimate the equation of the tangent line passing throng (1, 111)}