SHOW ALL WORK! 2_ _ 1. For the following problem, use the rational function y = f (x) = x 9626:2616: a. If the function has any horizontal asymptotes, find them and explain. b. If the function has any vertical asymptotes, find them and explain. c. List all x-values at which the function is undefined. 2. For the following problem, use the two points (3,5) and (2, 1): a. Find the slope of the line between the two points listed above. b. Find the y-intercept and the equation of the line between the two points listed above. c. Find the equation of a line through the point (0,1) perpendicular to the line above. 3. For the following problem, use the polynomial y = f(x) = x2 + 7x + 12: a. Find all x-intercepts of the function. h. Set up a number line to show where the function is positive and negative. c. List everywhere the function is negative and everywhere the function is positive. You can use either interval notation or inequalities. 4. For the function y = f(x) = 3x + 2, find: a. All x-values where f (x) = 7. b. All the x-intercepts. f (X+h)-f (X) c. Simplify h