Reference no: EM131041890
Assignment
Question 1. Which of the following functions are linear or quadratic? If a function is linear, what is its slope and its y-intercept? Is it increasing or decreasing? If a function is quadratic, is it concave up or concave down?
(a) y = (x - 5)2 - 7,
(b) y = (x + 3)3 - 1,
(c) y = 3x - 19,
(d) y = -8 + (3x2 - 1)(1 + x),
(e) y = -x2 + 4x - 2/3,
(f) y = 5/2 x + x2,
(g) y - 7 - x2 = x,
(h) y = 99.
Question 2. Sketch the graph of the function y = 3x - 6. Write the formula for the inverse of this function and sketch the graph of the inverse in the same coordinate system.
Question 3. A straight line passes through the points (-1, 5) and (1, -2). Find the equation of the straight line.
Question 4.
(a) Sketch the graph of the function y = x2.
(b) Sketch the graph of the function y = (x + 1)2.
(c) Sketch the graph of the function y = (x + 1)2 - 3.
(d) Give the coordinates of the vertex of the parabola from part (c).
(e) Convert the vertex form from part (c) into the general form of a quadratic function.
Question 5. Is the function y = 9x2, defined on the domain R with the codomain [0, ∞), invertible? Will it be invertible if we restrict the domain to the interval [0, ∞)? If not, explain why. If yes, write the formula for the inverse function.
Question 6. Solve the equation x2 - 5x + 6 = 0.
Question 7. Find the vertex of the parabola
y = -x2 + 5x - 6.
Is the vertex the maximum or the minimum of this quadratic function?
Use positive reinforcement-negative reinforcement
: Discuss your personal opinion about how to use positive reinforcement, negative reinforcement, and punishment in motivating organization members. Which of these three do you think is the most important ingredient of behavior modification?
|
Equality within a group help members feel safe
: We know that acceptance and equality within a group help members feel safe and pave the way for improved productivity. Can you describe what a team should do or what structures a team should have in place to help each member feel accepted and equal?
|
Improve the productivity outcomes of a diverse group
: What are some social factors that might improve the productivity outcomes of a diverse group? Think of groups you have been in, including this class. While the teams are very diverse, your productivity has been very good. Why is that? What have you d..
|
What factors impact mode selection for global transportation
: What does it mean when a company tries to mitigate their transportation risk? How can they accomplish this? What factors impact mode selection for global transportation? Identify and describe the three “channels” involved in global transportation.
|
Write the formula for the inverse function
: Is the vertex the maximum or the minimum of this quadratic function - write the formula for the inverse function.
|
Various external environmental factors
: Of the various external environmental factors that could affect Arla’s international marketing strategy for the Latin America and the Caribbean market, what are the two most important factors that will have the strongest impact on Arla’s strategies?
|
Actual accident rate using mean absolute percentage error
: The data in Accident.dta are the weekly automobile accident counts for the years 2006 and 2007 in Havana County. Determine the appropriate ARIMA model, and forecast the accident rate five weeks ahead from the forecast origin t = 85. Compare your fore..
|
Impact of changing the behaviour on your lifestyle
: SNPG939 Psychoactive Substance use in Mental Health. Impact of changing the behaviour on your lifestyle and health (explain how changing the behaviour will impact on your health and lifestyle, use literature to support your views)
|
Program fund the services
: Write a 700- to 1,050-word paper evaluating the financial aspects of your chosen social program. You will want to use information from your programs state services website for this paper, along with possibly other sources as needed.
|