Just need answers. PLEASE READ THE BLUE INSTRUCTIONS.

15. The function f is defined as follows. if x 0 ( x ) = X 1 if x = 0 (a) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. d) Based on the graph, find the range. a) The domain of the function f is (Type your answer in interval notation.) b) Locate any intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no intercepts. (c) Choose the correct graph below. O A. O B. O c. OD. (d) Based on the graph, find the range. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The range consists exclusively of one or more isolated values. It can be described as (Use a comma to separate answers as needed.) O B. The range has at least one isolated value. It can be described as the union of the interval(s) and the set (Use a comma to separate answers as needed.) O C. The range does not have any isolated values. It can be described by (Type your answer in interval notation.)16. The function f is defined as follows. Complete parts (a) to (d) below. x +5 if - 45x 1 (a) Find the domain of the function. The domain of the function f is (Type your answer in interval notation.) (b) Locate any intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no intercepts. (c) Graph the function. Choose the correct graph below. O A. O B. O C. OD. Ay (d) Based on the graph, find the range. Select the correct choice below and fill in the answer box(es) to complete your choice O A. The range has at least one isolated value. It can be described as the union of the interval(s) and the set (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The range does not have any isolated values. It can be described by (Type your answer in interval notation.) O C. The range consists exclusively of one or more isolated values. It can be described as (Use a comma to separate answers as needed.)The graph of a function f is illustrated to the right. Use the graph of f as the first step toward graphing each of the following functions. (a) F(x) = f(x) +3 (b) G(x) = f(x + 3) (c) P(x) = - f(x) (d) H(x) = f(x + 2) -2 (e) Q(x) = =f(x) (f) g(x) = f( -x) X (g) h(x) =f(2x) (g) Choose the correct graph of h(x) = f(2x) below. O A. O B. O C. O D. Ay17. Suppose (4,?) is a point on the graph of y = g(x). (a) What point is on the graph of y= g(x + 2) 3? (b) What point is on the graph of y= 4g(x 1) + 2? (c) What point is on the graph of y = g(4x +12)? (a) What point is on the graph of y= 90: + 2) 3? |:| (Type an ordered pair.) (b) What point is on the graph of y= 4g(x 1) + 2? |:| (Type an ordered pair.) (0) What point is on the graph of y = g(4x +12)? |:| (Type an ordered pair.) 5. An open box with a square base is to be made from a square piece of cardboard 27 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. x/ Answers parts (a) through (e). 27 in. XV 27 in. (a) Express the volume V of the box as a function of the length x of the side of the square cut from each corner. V= 4x3 - 108x2 + 729x (Simplify your answer.) (b) What is the volume if a 4-inch square is cut out? The volume is 1444 cubic inches. (Simplify your answer.) (c) What is the volume if a 12-inch square is cut out? The volume is 108 cubic inches. (Simplify your answer.) (d) Graph V= V(x). For what value of x is V largest? Choose the correct graph below. O A. B. O C. OD. Xmin = 0, Xmax = 13.5, Xmin = 0, Xmax = 13.5, Xmin = 0, Xmax = 13.5, Xmin = 0, Xmax = 13.5, Xscl = 0.5, Ymin = 0, Xscl = 0.5, Ymin = 0, Xscl = 0.5, Ymin = 0, Xscl = 0.5, Ymin = 0, Ymax = 800, Yscl = 100 Ymax = 1500, Yscl = 250 Ymax = 1500, Yscl = 250 Ymax = 1500, Yscl = 250 For what value of x is V largest? X= 1458 cubic inches (e) What is the largest volume? The largest volume is (1) (1) O square inches. O inches. cubic inches