Please help and explain how to to them

X T 1) Sketch the reciprocal functions of y = (x-2) and y a x2-2. Analyse the function in terms of asymptotes, zeros and domain and range. 2) The rational function y = x - 5+ 5+ & passes through points (6, 7) and (4, 1) Determine the value of a and k. 3) Complete the table for the given rational function. (x +3)(x - 2) Characteristic y = (x +5)(x+3) Non-permissible value(s) Feature exhibited at each non-permissible value Behaviour near each non-permissible value Domain Range 4) State the equation for each graphed rational function. b) YA YA 8- TX -8 5) Write the equation of a possible rational function that has an asymptote at x = 2, has a point of discontinuity at x = -2.5, and passes through (6, -3). 6) For each function predict the location of any asymptotes, points of discontinuity, and intercepts. a) y= x2 + 5x x2 + 7x + 10 b) 2x2-8 X2 - 9 ( ) * + 8x +16 d) 23-2x2 -5x +6 x+8 x2 -9 7) Graph each of the functions from question 6 and state the domains and range for each. + Add a caption... > Alisha