Answer Happy

2x-4 1) Based on the function f(x)= , state the following: x+4 a) x-intercept(s) e) vertical asymptote(s) i) intervals of increase b) y-intercept f) horizontal asymptote j) intervals of decrease (10) c) Domain g) positive interval 2) Describe how the graph of y=-2/[3(x-1)]-4 can be obtained from the graph of f(x) = x. Be sure to use full sentences when describing the transformations. d) range h) negative interval 3) The population of a small town is modelled by the function P(1) 20(4t+3) where P(1) is the population, in 21+5 5) Solve 2x17x+s x-5 thousands, and r is time, in years, since the start of 1990. a) Is the population currently increasing or decreasing? Justify your answer. (2) b) The town will need its own transit system if the population exceeds 50 000. Will the town's population ever exceed 50 000? Explain. (2) 4) Polluted water from a factory flows into a pond. The concentration of pollutant, c, in the pond at time t where e is measured in kg/m³. When will minutes is modelled by the equation c()=8-8000 1000+21 the concentration of pollutant in the pond reach 6 kg/m³? (5)