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 2 a. f(-2) b. f( ) c. f(a + 2) 3 5. Find the domain of f(x) = x1 x1 6. Use the pair of functions f(x) = x 2 7. Find and simplify the difference quotient and g(x) = 2 x f ( x+ h )f (x) h to find ( gf ) (-1) for the function f(x) = x2 + 3. 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