1. Salt water is flowing into a large tank that contains pure water. The concentration of salt, c, in the tank at t minutes is given by: 10t c(t ) = 25+t where c is measured in grams per litres. When does the salt concentration in the tank reach 3.75 g/L? Mark Value: 62. What is the equation of the horizontal/oblique asymptote of the following function? 2x3 + 2x2 - 4x +3 f(x) = x -1 (a) y = 0 (b) y = 2 (c) y = 2x +4 (d) y = 2x2+ 4x Mark Value: 43. Rational functions contain a variety of features, such as x-intercepts, y-intercepts, vertical asymptotes, and horizontal/oblique asymptotes. Complete the following table, indicating which of these features do not have to be present in a rational function, can be present once in a rational function, or can be present multiple times in a rational function. Note that some features may be required under more than one column, and that horizontal/oblique asymptotes are considered a SINGLE feature (and do not appear separately in the table). Do Not Have To Be Present Can Be Present Once in Can Be Present Multiple in Rational Function Rational Function Times in Rational Function Mark Value: 44. Graph the following function: (x - 3) (2x + 3) fo) = (x+4)3 (x - 3) Make sure to include the following information in the graph: (a) X-intercept(s) and y-intercept(s) (b) Vertical asymptote(s) and holes (if any) (c) Horizontal/oblique asymptote(s) (d) End behaviour around vertical asymptote(s) Mark Value: 6