Name __________________________________________________ This quiz is worth 40 points. Each problem is worth 5 points. This quiz is open book and open notes, and there is no time limit, as long as you submit it by the deadline. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone. Please show your work if appropriate. At the end of the quiz, please sign and date the statement that you received no help on the exam. Without the signed statement you will receive a zero. When you have completed the quiz, please submit it in your Assignment Folder. 1. For the points (-1, 1) and (2, 5), find the distance d between the points and the midpoint M of the line segment which connects them. 2. Determine whether or not each of the following relations represents y as a function of x. Find the domain and range of those relations which are functions. a. (-1, 1) (0, 5) (1, 7) (-1, 6) b. y = x 3. Find an expression for a function that takes a real number f(x) and performs the following three steps in the order given: (1) multiply by 2 (2) subtract 4 (3) take the square root 4. Use the function f(x) = 3 - x 2 to find a. f(-2) b. f( 2 3 ) 5. Find the domain of f(x) c. f(a + 2) = x1 x1 6. Use the pair of functions f(x) = x 2 7. Find and simplify the difference quotient + 3. and g(x) = 2 x f ( x+ h )f (x) h to find ( gf ) (-1) for the function f(x) = x2 8. The cost, in dollars, to produce x widgets is C(x) = 3x + 32 , x > 0. The price-demand function, in dollars per widget, is p(x) = 30 - x. a. Find and interpret R(10), where R(x) is the revenue function. b. Find and interpret P(10), where P(x) is the profit function