Need help 2. A ladder that is 10 feet long is leaning vertically against a wall. A carpenterslides the bottom of the ladder away from the wall at a constant speeduntil the top of the ladder hits the floor. Let x be the horizontal distance ofthe bottom from the wall, and let y be the vertical distance of the top fromthe floor. See the picture below.y10 ft(a).. Construct a function f giving y in terms of x, that is such thaty = f(x). (Hint: use the Pythagorean Theorem.)(b)Use the function to fill in the table of values below left.(c)average rates of change of y over each of the given intervals.Use the table of values to fill in the table (below right) ofinterval in x average r.o.c. of y100 < x < 22

Here, x be the horizontal distance of the bottom from the wall and y be the vertical distance of…

2. A ladder that is 10 feet long is leaning vertically against a wall. A carpenter slides the bottom of the ladder away from the wall at a constant speed until the top of the ladder hits the floor. Let x be the horizontal distance of the bottom from the wall, and let y be the vertical distance of the top from the floor. See the picture below. y 10 ft (a) y = f(x). (Hint: use the Pythagorean Theorem.) Construct a function f giving y in terms of x, that is such that (b) Use the function to fill in the table of values below left. (c) average rates of change of y over each of the given intervals. Use the table of values to fill in the table (below right) of interval in x average r.o.c. of y 10 0