(1) Let's review the concept of a function. (a) What is your definition of a function? (in your own words) (b) What is your definition of the domain of a function? (in your own words) (c) What is your definition of the range of a function? (in your own words) (d) What are some important features of a function that we can identify from its graph? (2) A tire manufacturer is preparing to make a batch of tires. The function g(t) computes the amount of rubber (measured in pounds) needed to produce & tires, and /(s) computes the cost (measured in dollars) of obtaining s pounds of rubber. What are the units of (fog) (500)? (3) Let T = f (t) be a function that gives the amount of fuel consumed by a rocket (in tons) & seconds after launch. Describe in words what each of the following represents. Include units. (a) /(5) (b) 5-1(5) (4) Let /(s) = -5r2 - 15r + 20 _-5(x - 1)(r + 4) 2r2 + 65 - 20 Find the following if they exist. 2(x - 2) (r + 5) (a) Equation(s) of any vertical asymptote(s): (b) Equation(s) of any horizontal asymptote(s): (5) Find an equation of the line passing through (9, 14) with slope Write your answer in the point-slope form, y - y, = m(x - 5). (6) Find the slope of the secant line for the function /(x) = 13 -r - 1 from r = -1 to = =1. (7) Sketch a graph of the function /(x) = 12 - r - 1 and draw in the secant line from -1 tor = 1. (8) Find the average rate of change of /(x) = 2: + 1 on the interval [1, 4)