Use the guidelines of this section to sketch the curve. y = x 3x 1/3 Data
Question:
Use the guidelines of this section to sketch the curve.
y = x – 3x1/3
Data from section 4.5
Transcribed Image Text:
GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might not have an asymptote or possess symmetry.) But the guidelines provide all the information you need to make a sketch that displays the most important aspects of the function. A. Domain It's often useful to start by determining the domain D of f, that is, the set of values of x for which f(x) is defined. B. Intercepts The y-intercept is f(0) and this tells us where the curve intersects the y-axis. To find the x-intercepts, we set y = 0 and solve for x. (You can omit this step if the equation is difficult to solve.) C. Symmetry (1) If f(-x) = f(x) for all x in D, that is, the equation of the curve is unchanged when x is replaced by -x, then f is an even function and the curve is symmetric about the y-axis. This means that our work is cut in half. If we know what the curve looks like for x > 0, then we need only reflect about the y-axis to obtain the complete curve [see Figure 3(a)]. Here are some examples: y = x²y = x¹, y = |x|, and y = cos x. (ii) If f(-x) = -f(x) for all x in D, then f is an odd function and the curve is symmetric about the origin. Again we can obtain the complete curve if we know what it looks like for x > 0. [Rotate 180° about the origin; see Figure 3(b).] Some simple examples of odd functions are y = x, y = x³, y = x³, and y = sin.x. (iii) If f(x + p) = f(x) for all x in D, where p is a positive constant, then f is called a periodic function and the smallest such number p is called the period. For instance, y = sin x has period 27 and y = tan x has period . If we know what the graph looks like in an interval of length p, then we can use translation to sketch the entire graph (see Figure 4).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 0% (1 review)
The graph o...View the full answer
Answered By
Saikumar Ramagiri
Financial accounting:- Journal and ledgers, preparation of trail balance and adjusted trail balance Preparation of income statement, retained earning statement and balance sheet Banks reconciliation statements Financial statement analysis Cash flow statement analysis (both direct and indirect methods) All methods of Depreciations Management Accounting:- Ratios Budgeting control Cash budget and production budget Working capital management Receivable management Costing:- Standard and variance costing Marginal costing and decision making Cost-volume-profit analysis Inventory management (LIFO, FIFO) Preparation and estimation of cost sheet Portfolio management:- Calculation of portfolio standard deviation or risk Calculation of portfolio expected returns CAPM, Beta Financial management:- Time value of money Capital budgeting Cost of capital Leverage analysis and capital structure policies Dividend policy Bond value calculations like YTM, current yield etc International finance:- Derivatives Futures and options Swaps and forwards Business problems Finance problems Education (mention all your degrees, year awarded, Institute/University, field(s) of major): Education Qualification Board/Institution/ University Month/Year of Passing % Secured OPTIONALS/ Major ICWAI(inter) ICWAI inter Pursuing Pursuing - M.com(Finance) Osmania University June 2007 65 Finance & Taxation M B A (Finance) Osmania University Dec 2004 66 Finance & Marketing. B.Com Osmania University June 2002 72 Income Tax, Cost & Mgt, Accountancy, Auditing. Intermediate (XII) Board of Intermediate May 1999 58 Mathematics, Accountancy, Economics. S S C (X) S S C Board. May 1997 74 Mathematics, Social Studies, Science. Tutoring experience: • 10 year experience in online trouble shooting problems related to finance/accountancy. • Since 6 Years working with solution inn as a tutor, I have solved thousands of questions, quick and accuracy Skills (optional): Technical Exposure: MS Office, SQL, Tally, Wings, Focus, Programming with C Financial : Portfolio/Financial Management, Ratio Analysis, Capital Budgeting Stock Valuation & Dividend Policy, Bond Valuations Individual Skills : Proactive Nature, Self Motivative, Clear thought process, Quick problem solving skills, flexible to complex situations. Achievements : 1. I have received an Award certificate from Local Area MLA for the cause of getting 100% marks in Accountancy during my Graduation. 2. I have received a GOLD MEDAL/Scholarship from Home Minister in my MBA for being the “Top Rank student “ of management institute. 3. I received numerous complements and extra pay from various students for trouble shooting their online problems. Other interests/Hobbies (optional): ? Web Surfing ? Sports ? Watching Comics, News channels ? Miniature Collection ? Exploring hidden facts ? Solving riddles and puzzles
4.80+
391+ Reviews
552+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Solve each equation. Check the solutions. 14 x -= x - 5
-
Use the guidelines of this section to sketch the curve. In guideline D find an equation of the slant asymptote.
-
Use the guidelines of this section to sketch the curve. y= sin x/1 + cos x Data from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y...
-
Find the point-slope form of the line pass- ing through the given points. Use the first point as (x 1 , y 1 ). (-3,4), (2,5)
-
What advantages do food trucks have over stationary restaurants? Disadvantages? Joshua Henderson, a chef who once cooked at the Avalon Hotel in Beverly Hills, is one of the few entrepreneurs who does...
-
A person jumps from the roof of a house 2.8 m high. When he strikes the ground below, he bends his knees so that his torso decelerates over an approximate distance of 0.70 m. If the mass of his torso...
-
Playing a gambling game costs $10. The table shows the probability of winning various prizes on the game. Find the expected net gain to the player for one play of the game. Prize Probability 1 $200...
-
The following is the ending balances of accounts at December 31, 2018, for the Weismuller Publishing Company. Additional Information: 1. Prepaid expenses include $120,000 paid on December 31, 2018,...
-
1. Write a program in python to get the number of rows using GUI. If the user entered less than 4 rows, display the message not to enter less than 4 rows and allow the user to enter again. For...
-
Find f. f"(x) = 2 + x 3 + x 6
-
Find f. f"(x) = 6x + 12x 2
-
2kx y = 4 4kx + 3y = 2 are two simultaneous equations, where k is a constant. a. Show that y = 2. b. Find an expression for x in terms of the constant k.
-
You plan to borrow $48,400 at a 7.5% annual interest rate. The terms require you to amortize the loan with 10 equal end-of-year payments. What is the ending balance at the end of Year 3 ?
-
Parent acquired Sub on January 1 , 2 0 2 3 . You were given the following information for the Unadjusted partial IncomeStatements for Parent Inc. and Sub Inc. for December 3 1 , 2 0 2 3 Parent Inc....
-
A 500 g cart moving at 1.2 m's collides head on with a stationary 300 g cart. The stationary cart has an elastic spring attached to the front of it that has a spring constant of 2400 N/m. Calculate...
-
As potential energy can be converted to kinetic energy and vice versa. Provide an example of energy being converted from potential to kinetic energy (or vice vera) and explain how you would determine...
-
How has technology influenced business writing in recent years? Discuss the benefits and potential drawbacks of using technology-based tools for business communication.
-
Consider again the banks customer loan decision problem in Problem 51. Suppose now that the banks utility function of profit x (in dollars) is U(x) = 1 e-x/500000. Find the strategy that maximizes...
-
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability. P(x 110)
-
Find the lengths of the sides of the triangle PQR. Is it a right triangle? Is it an isosceles triangle? P(3, 2, 3), Q(7, 0, 1), R(1, 2, 1)
-
Find the lengths of the sides of the triangle PQR. Is it a right triangle? Is it an isosceles triangle? P(2, 1, 0), Q(4, 1, 1), R(4, 5, 4)
-
Find an equation of the sphere with center (-3, 2, 5) and radius 4. What is the intersection of this sphere with the yz-plane?
-
(2) 1. Is the following graph strongly connected? If not, is it weakly connected?_ If not, how many connected components does it have? b a d C e (2) 2. Is the following graph strongly connected? If...
-
What insight did you gain about how you might improve the effectiveness of your work relationships by using the assertive communication techniques as described in People Skills? What benefits can...
-
. Show that In the Go-Back-N protocol, the size of the send window must be less than 2 where 'K' is the # of bits for sequence numbers; the size of the receive window is always 1. Use the timeline...
Study smarter with the SolutionInn App