Please answer all questions and show work.

Please read all instructions carefully. Make sure to show ALL your work and answer the question(s) asked. Box-up all final answers. GOOD LUCK!! Find the difference quotient for the function and simplify it. [NOTE: Find f(a + h) - f(a) Form a polynomial f(x) with real coefficients having the given degree, zeros and constant. 3) f(x) = x2 + 7x 3; zeros: -2 and 3 + i; constant: 40. Graph the function. 1) -1 . x. for x s2 1( x ) = 1 + 2x, for x > 2 Using COMPOSITIONS of functions to decide whether or not the functions are inverses of each other. 4) 1(x) = V/5x - 4. 9(x) = X5+4 The graph of a function f is given. Use the graph to answer the question. 2) Find the numbers, if any, at which f has a local minimum. What are the local minima? Find ALL zeros for the polynomial function AND factor the polynomial into linear factors. 7) f(x) = x3 - 9x2 + x - 9 Solve the inequality. Write you solution in interval notation. 8 ) X45