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Pre Calculus 6.0 2416 Cumulative Review I Name________________________ Date:____________ Pd_________ ALL WORK IS TO BE COMPLETED ON SEPARATE PAPER. IT IS EXPECTED THAT YOUR WORK WILL REPRESENT COMPLETE, NEAT AND ORGANIZED SOLUTIONS TO THE STATED PROBLEMS 1. Write an equation of the line through the point 8,3 and parallel to the line given by 2x 3 y 5 . 2. Find the x and y intercepts of the following equations: a) y x 2 6 b) y x 4 1 3. Given the following pairs of functions, determine the requested domains: Df g , Df g a) f x x 5 ; g x x 2 4 b) f x x ; g x 2x 5 2x x 3 2 4. Find a polynomial function with integer coefficients whose zeros are: 0, -1, 2 3 . 5. Solve the inequality, sketch the solution on a number line, and present the solution in interval notation. 5x 2 4 a) 2 x 2 x 1 b) x7 6. Find the quadratic function that has 4, 4 as the vertex and whose graph passes through the point 5,9 . 7. Determine algebraically any points of intersection of the graphs for the following equations. y 9 x 2 and y x 3 8. Find the inverse of the function of y x 4 including proper domain considerations and then verify that it is the inverse via proper algebraic composition with the original function. 9. Given f x 2 x 2 x3 , determine the difference quotient f x h f x ;h 0. h 10. Use the given graph of f to sketch the new functions given by the requested transformations of f . NOTE: Each sketch, a through e, must be presented on a separate coordinate plane (no “combo” graphs). a) f x 4 b) f x 2 1 f x 2 d) f 2 x c) e) f x y f(x) x