8. Consider the function (x) = x² - 8x³ + 18x² - 27, and in factored form: f(x) = (x + 1)(x − 3)³ a) Determine the x and y-intercepts. - b) Determine the coordinates and nature of the critical points. c) Determine the intervals of increase and decrease. d) Determine the coordinates of the inflection points. e) Determine the intervals of concavity. f) Graph the function on the grid below. (Label axes appropriately)

Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b) y=2x4+12x+100 End behavior: y as x y as x

Find the intercepts of x+4y=8 .

Find the x and y-intercepts for the following: 2x5y=6 .

A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.

2. Let fx) = - 10 (x+ 2 )² (x – 3)(x + 2)*. Do not use your calculator until part d. a. List the factors and the x-intercepts (zeros) of f(x). In the right column, circle either touch or passthrough describing what the graph will do at each x-intercept. appearance at x-intercept touch pass-through factor x-intercept at x = ? touch pass-through touch pass-through b. What are the degree and the leading coefficient? degree: leading coefficient: c. What are the end behaviors (up or down)? left end: right end: d. Now graph f(x) on your calculator. Adjust the window until you can see all of the features listed above. D Then, sketch the screen.

a.) What is the domain of the function y =√x-4? b.) If f(x) = x^2 - 3x, find f(-1.8).

A ball is thrown upward from the top of a building 310 feet tall. The height of the ball is described by the function h(t) = -16t2 + 30t + 310, where t is in seconds andt= 0 corresponds to the moment the ball is thrown. a) Determine for what value of t the ball reaches the maximum height and determine this maximum height. t = and maximum height = b) Determine when the ball reaches the ground. t =

help me for a, b, c, d, e, f, g, h