Hi, I want to know the answer to question 4 (a-f) with a detailed explanation. Thank you so much

Question 4 Below is a graph representing part of the cross-section of Mount Tango. The yaxis represents the vertical height (in metres), above the base of the mountain. The x-axis represents the horizontal distance (in metres) from the origin. Mount Tango (300,0) a) Find a cubic function f (x) to represent the graph above (A is the point of inection). Include an appropriate domain. b) Find the gradient function f '04:). Question 4 continues on the next page... Page 8 of 13 Question 4 continued... 6) Sketch by hand the graph of f '(x) on your own paper. You may use the grid below as a guide. Clearly label all key points. Question 4 continued... c) Sketch by hand the graph of f '(x) on your own paper. You may use the grid below as a guide. Clearly label all key points. cl) Using your sketch, nd the steepest gradient. Thus, if a ski run is constructed on Mount Tango, state the most appropriate run classication (Beginner, Intermediate, or Expert). e) The cross-section pictured in part a) is just one-half of the mountain. The left-hand side of the mountain, given as function 90:), can be found by reecting the function f(x) in the yaxis. Give the equation for 300. f) Looking at the functions g(x) and f (x). state the limitations of using these functions to model the side of a mountain. What assumptions have been made that may affect the reasonableness of your solutions? Page 9 of 13 Question 5 Below is a graph representing part of the cross-section of Mount Zacry that will be used for the ski park. The yaxis represents the vertical height (in metres). above the base of the mountain. The xaxis represents the horizontal distance (in metres) from the origin