Rational Functions 1. Determine the equation of a rational fullction with a) vertical asymptote x = 2 , and a horizontal asymptote y = 4. b) vertical asymptotes x = 2,x = 2 and an oblique asymptote y = 3x *1. 2. Determine constants p and q that guarantee that the graph of the function dened by p+4xx2 hm = will have vertical asymptotes at x = 2 and x = 3 8:. y-intercept = 3. x2+qx+6 MHF4U1 culminating 2021 3. Complete each of the following with the most correct word or phrase. a) Every function has at least one asymptote. b) The equation of the can be determined by using the end behaviours of the rational function. c) The are determined by setting the denominator of the simplied rational function to zero. d) A common factor involving x that occurs in both the numerator and denominator of a rational function results in a(n) in the graph of a rational function. x 2 4. For it x = ( ) x2 + 5x + 6 a) determine the vertiCal, horizontal, and oblique aSymptotes. b) determine the x and y intercepts. c) sketch hfx). 5. Determine the oblique asymptote for each of the following. 2x27x+5 x2+x6 a) g(x)= b)f(x)= x x + 2 6. Solve ; 2 L algebraically. Be sure to include a number linet'interval chart. x2+2x8 x+4