4, Divide the complex numbers and write your answer ina + bi form. 5. Evaluate the difference quotient for f(x) = x* 4x + L. 6. Find all vertical and horizontal asymptotes, x- and p-intercepts, and symmetries, and graph the function. " -4 x| 3 9 90 =55 Vertical asymptote(s): Horizontal asymptote: P Find the x-intercept(s): Find the y-intercept(s): Test the symmetry: 7. Graph the quadratic function f(x) = 2x* 4x + 6. a) Does the parabola open up or down? b) Find and plot the vertex: c) Find and plot the x- and y- intercepts: d) Graph the function: Vertex: x-int: w-int: 8. The revenue and cost for the Coffee Exchange is given by R(x) = 70x 15x? thousand dollars and C(x) = 405 110x thousand dollars, where x is the number of tons of coffee beans produced and sold. a) Write the profit function. Simplify your answer. b) How many tons should they produce and sell to maximize profit? 9. Evaluate the sum: Z{'\": - 3} = 10. Simplify each expression. Use absolute value symbols when necessary. ) (i) ) (555 1/4 -2/3 1. Solve each of the following: 3 x2+14 a x4 x+2 x2-2x-8 b) 4x2 + 8x = 9 c) vx + 3 = 3x - 1 d) |2x - 41 = 13x - 91 e) x3 - 10x2 + 25x > 0 f) 81x+1 = 272x+1 Find BVs: Test the intervals: Graph: Interval notation: 3x + 9y =6 g) log4(x + 6) + log.(x) = 2 h) [-x+5y =-2 2. Consider the graph to the right. a) Determine the average rate of changed from (-1.5, 0) to (0, 2). b) Write the equation of the secant line in slope-intercept form: c) Find a third point on the secant line and graph the line. 3. If one leg of a right triangle is 14 meters shorter than the other leg, and the hypotenuse is 26 meters, find the length of the two legs. Draw and label a picture: Setup an equation and solve