NEED ALL QUESTIONS ANSWERED. NEED TO BE ABLE TO READ HANDWRITING.

Math 8 Review 3 Test 3 will cover sections 3.4 3.7,4.1,4.2, 5.1 5.3, supplement to chapter 5 (quadratic models) I. The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x==5p+100 a. mo a0 o Express the revenue R as a function of p What is the domain of R (assume R is nonnegative) What price p maximizes the revenue? What is the maximum revenue? Graph R What price should the company change to earn at least $480 in revenue? 2. A farmer with 12,000 meters of fencing wants to enclose a rectangular field and then divide it into two plots with a fence parallel to one of the sides. See figure. =+ = === - What is the largest area that can be enclosed? ' -100y 4. The graph of a polynomial function has four different possibilities for its end behavior. Sketch the four options and explain the conditions that lead to each outcome. 5. Consider the function listed below. a. Determine the leading term of each polynomial. Then sketch a small graph of the leading term to determine the end behavior of the graph. b. List the zeros and the multiplicity of each. Determine whether the graph crosses or touches the x axis at each x intercept Sketch a graph of the function i, f(x)=-(x=5)"(x-3)(x+4) il f(x)=2x"+12x' 8x* 48x For the given functions f(x)=1-2x" and g(x)=3x-5, find a. (fog)(1) b. (g/)(0) . (feog)(x) Given f(x)= il and g(x)= Z, find (f g)(x) and state the domain. X X - Find the inverse of the one-to-one function and check your answer. Find the domain and range of /' -1 and [ (x4 . 'f(x)_x+2 , 2x+3 B f(x)z xx+2 , f(x) = %/;+ 1 "Graph the function using transformation. Describe the transformation. Label at least 3 points on the graph a. y=(x-2)"+1 b. y=2-x+3 C y=|x+6|3 . Consider the function y =3(x+1)" 4 Graph each function. Label the vertex and 2 additional points. Find the vertex and axis of symmetry. Determine if the graph is concave up or concave down. Find the x-and y-intercepts. State the domain and range. Determine the intervals on which the function is increasing and decreasing. me e o8 . Consider the function y = x> =2x -8 a. Graph each function. Label the vertex and 2 additional points. Find the vertex and axis of symmetry. Determine if the graph is concave up or concave down. Find the x-and y-intercepts. State the domain and range. Determine the intervals on which the function is increasing and decreasing. o Qo o 12. Determine if the function is increasing or decreasing. f(x)=-2x+5 13. Find a linear function that passes through (5,1) and (3, 9). 14. A town's population increases at a constant rate. [n 2010 the population was 65,000. By 2012 the population had increased to 90,000. a. Write a linear function to model the situation. b. Find and interpret the slope and y-intercept. . Assuming this trend continues, predict the population in 2018