For each of the following questions, if there is more than one solution, enter all solutions as a comma-separated list, like "I, 3". a. Consider the function f(x) = 5(x + 8) - 7. i. What is the vertical intercept of f? 33 Preview ii. What are the horizontal intercepts (or "roots") of f? -6.6 Preview b. Consider the function g(x) = z(9 - 2x) (13 - 2x). i. What is the vertical intercept of g? 0 Preview ii. What are the horizontal intercepts (or "roots") of g? 0.9/2.13/2 PreviewA tank has 15 gallons of water in it when water begins draining from the tank. (Recall that water weighs 8.345 pounds per gallon.) a. If 12 pounds of water have drained from the tank, how many gallons of water are remaining in the tank? 13.56 gallons Preview b. Define a function f that determines the number of gallons of water in the tank, f(w), in terms of the number of pounds of water that have drained from the tank since the tank started draining, w. f(w) = 15-w/8.345 Preview c. What is the domain of f? Enter your answer as an interval. [0,-85.14] Preview d. What is the range of f? Enter your answer as an interval. [0,15] PreviewA box is formed by cutting squares from the four corners of a 11"-wide by 13"-long sheet of paper and folding up the sides. Let a represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). a. Write a formula that expresses V in terms of r. V = x(13-2x)(11-2x) Preview b. If the cutout length increases from 0.5 to 2.1 inches, what is the change in the box's volume? (You may use your graphing calculator.) 119.86-240 * cubic inches Preview c. If the cutout length increases from 2.1 to 4.8 inches, what is the change in the box's volume? * cubic inches PreviewA farmer has 80 meters of fencing to enclose a rectangular garden that has one side of the garden against a barn. W Let I represent the length of the rectangular garden (in meters). (Notice that the 80 meters of fencing is needed for only 3 sides of the garden.) a. Suppose the length of the garden is 10 meters (1 = 10). i. What is the width of the garden? 35 * meters Preview ii. What is the area of the garden? 350 square meters Preview b. Write an expression in terms of / that represents the width of the garden (in meters). (80-1)/2 Preview c. Write an expression in terms of / that represents the area of the garden (in meters). 40-1 Previewa. Evaluate f(5) given that f(@) = T' + (15 - 4x) f(5) = 20/45 Preview b. Evaluate g(x + 2) given that g(x) = 4x - 6x + 9. g(x + 2) = 4x*2+10x+13 Preview c. Evaluate h(2x) given that h(y) = h(2x) = ((8x^3)-4)/(8) Preview