1. Graph f(x) = x . Plot at least three points. a. Use f(x) graph to graph g(x) = x 1. b. Use f(x) graph to graph j(x) = x1 2. Let f(x) = x . Use the graph of f(x) from Example 1 to graph the following functions, also state their domains and ranges. a. g(x) = x . b. j(x) = 3x 3. Let f(x) = x . Find a formula for a function g(x) whose graph is obtained from f(x) using the given sequence of transformations a. shift right 2 units; shift down 3 units b. shift down 3 units; shift right 2 units 4. Graph the functions. Find the slope, y-intercept and x-intercept, if any exist. a. f(x) = 2x - 1 b. f(x) = 3 x c. f(x) = 3 5. Carl can stuff 6 envelopes per minute. Find a linear function E that represents the total number of envelopes Carl can stuff after t hours, assuming he doesn't take any breaks. 6. A landscaping company charges $45 per cubic yard of mulch plus a delivery charge of $20. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch. 7. Compute the average rate of change of the function over the specified interval. 3 a. f(x) = x , [1, 2] b. f(x) = 1/ x, [1, 5] 8. Solve each of the following equations. a. |3x 1| = 6 b. 3 |x + 5| = 1 9. Find the zeros of the function, the x- and y-intercepts, if any exist. From the graph, determine the domain and range of each function, list the intervals on which the function is increasing, decreasing or constant, and find the relative and absolute extrema, if they exist. g(x) = |x + 2| |x 3| + 1 10. A boy can mow a lawn in 4 hours. His sister can mow it in 3 hours. How long will it take if they work together, both mowing at the same time