Give an example of a function f: A B and A1, A2 A for which

Question:

Give an example of a function f: A → B and A1, A2 ⊂ A for which f(A1 ∩ A2) ≠ f(A1) ∩ (A2). [Thus the inclusion in Theorem 5.2(b) may be proper.]

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Question Posted: Jun 21, 2016 08:22 AM

See More Questions

A function f: [a, b] R is said to satisfy a Lipschitz condition with Lipschitz constant L on [a, b] if, for every x, y [a, b], we have |f (x) f (y)| L|x y|. a. Show that if f satisfies a...
Sketch the graph of an example of a function f that satisfies all of the given conditions. (a) (b) (c) lim f(x)--00, lim f(x) = 5, lim f(x) =-5 lim f(x)--00, 1-2 lim f(x) = oo, lim f(x) = 0. lim...
Let f and g be Lipschitz functions on A. (a) Show that the sum f + g is also a Lipschitz function on A. (b) Show that if f and g are bounded on A, then the product fg is a Lipschitz function on A....
a. Find the nth-order Taylor polynomials for the given function centered at the given point a, for n = 0, 1, and 2.b. Graph the Taylor polynomials and the function. f(x) = ln x, a e =
Far North Outfitters is a retail phone-catalogue company that specializes in outdoor clothing and equipment. A phone station at the company will be staffed with either full-time operators or...
The amounts of the assets and liabilities of Excalibur Travel Agency at December 31, 20Y5, the end of the year, and its revenue and expenses for the year follow. The capital of James Brewster, owner,...
Two-Way Analysis of Variance. Suppose that two different sets of treatments are of interest. Let $y_{i j k}$ be the $k$ th observation level $i$ of the first treatment type and level $j$ of...
Evan Nathan runs a home repair business. Recently he gathered the following cost information about the repair of a clients pool deck: replacement wood, $650; deck screws and supplies, $112; and...
What is the total cash collection for April? Q1- the following is information of Royal Company for the quarter ending June 30th Sales budgets for the next four months are: April May June Budget sales...
Sun Airlines is a commercial airline that targets business and non-business travelers. In recent months, the airline has been unprofitable. The company has break-even sales volume of 75% of capacity,...
Let A = {1, 2, 3, 4, 5}, B = {w, x, y, z], A1 = {2, 3, 5} A, and g: A1 B. In how many ways can g be extended to a function f: A B?
Prove parts (a) and (c) of Theorem 5.2.
In Problem find y and the slope of the tangent line to the graph of each equation at the indicated point. (y - 3) 4 - x = y; (-3, 4)
Assume that you are the president of Highlight Construction Company. At the end of the first year of operations ( December 3 1 ) , the following financial data for the company are available: Cash $ 2...
Solomon Manufacturing Company began operations on January During the year, it started and completed 1 , 6 0 0 units of product. The financial statements are prepared in accordance with GAAPThe...
On June 3 0 , 2 0 0 9 , Martinez Company issued 1 2 % bonds with a par value of $ 7 5 0 , 0 0 0 due in 2 0 years. They were issued at 9 8 and were callable at 1 0 4 at any date after June 3 0 , 2 0 1...
Write a quadratic equation in x with the solutions -5 and 5. NOTE: Assume the coeffcient of x2 is 1.
Two highways diverge at 54. If two bike riders take separate routes at 15 km/h and 17 km/h, find how far apart they are after 2 hours.
Lavertezzo allocates fixed manufacturing overhead to each suit using budgeted direct manufacturing labour-hours per suit. Data pertaining to fixed manufacturing overhead costs for June 2018 are...
A horizontal annulus with inside and outside diameters of 8 and 10 cm, respectively, contains liquid water. The inside and outside surfaces are maintained at 40 and 20oC, respectively. Calculate the...
A corporation issues 1,200,000 shares of stock at its beginning to shareholders. How many shares must a shareholder own to have a majority of the shares?
Elisa owns 28% of the Grudman Corporation. The rest of the shares are owned equally by the remaining six shareholders. What percent of the corporation does each of the other shareholders own?
Julie and Kristen are the partners in a local sporting goods shop. They needed $51,000 to start the business. They invested in the ratio 5:12, respectively. a. How much money did each invest? b. What...
Explain possible advantages and disadvantages of PSL's current international trading strategy (subsidiary in China, export & import and online presence).
In November 2020 you entered into four May 2021 long futures contracts for crude oil (1,000 barrels per contract) for $65.00 per barrel. If the futures price was $70.00 per barrel on December 31,...
4) Champagne, Inc., had revenues of $13 million, cash operating expenses of $9 million, and depreciation and amortization of $2 million during 2008. The firm purchased $650,000 of equipment during...

Give an example of a function f: A B and A1, A2 A for which

Question:

Step by Step Answer:

To conclude I can say t...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these Linear Algebra questions