Question: Why is f not a function from R to R if a) f (x) = 1/x? b) f (x) =x? c) f (x) =

Why is f not a function from R to R if
a) f (x) = 1/x?
b) f (x) =√x?
c) f (x) = ± √(x2 + 1)?

Step by Step Solution

★★★★★

3.36 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a The expression Ix is meaningless for x 0 which is one of the elements in the ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

923-M-C-M-S (1475).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

a) Prove that a strictly decreasing function from R to itself is one-to-one. b) Give an example of a decreasing function from R to itself that is not one-to-one.

Q:

A function f: R2 R is said to be independent of the second variable if for each x R we have f (x, y1) = f (x, y2) for all y1, y2. R Show that f is independent of the second variable if and only if...

Q:

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...

Q:

12:55 0 O & . ME . 83%4 IM_COMP20043_DiscreteStructure_... . . . Exercises: 1. Why is f not a function from R to R if a) f (x) = 1/x? b) f (x) = vx? c) f (x) = = V(x2 + 1)? 2. Determine whether f is...

Q:

Assignment Question : A. Let A = {x N | x = 2a, for some a from N and 10 x 20} B = {x N | x = 5a, for some a from N and 10 x 20} Describe each of A and B using roster method Find A B, A B , A - B, B...

Q:

why is f not a function from r to r if a) f (x) = 1/x

Q:

5. Let f be the function from R to R defined by f(x) = x. Find a) f-'({1}) b) f-(|0

Q:

1. Given three non-empty sets A, B and C, explain the following using set builder notations. (i) AUB (ii) AnB (iii) A-B (iv) A B Based on your definition, find the result of (i) to (iv) if A= (0, 2,...

Q:

3. Let f be the function from R to R defined by f(x) = (x +1]. Find (a) f-1({1}), (b) f-1({x | 0 4})

Q:

buckley (jdb4687) - HW05 - beshaj - (53521) This print-out should have 25 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. 001...

Q:

John claims that he has extrasensory powers and can tell which of two symbols is on a card turned face down (see Example 3.11). To test his ability he is asked to do this for a sequence of trials....

Q:

You expect General Motors (GM) to have a beta of 1 over the next year and the beta of Exxon Mobil (XOM) to be 1.2 over the next year. Also, you expect the volatility of General Motors to be 30% and...

Q:

4 . Provide an example input for both best case and worst case for each of the below sorting algorithms discussed in class and specify the time complexity to sort for each input example that you...

Q:

What are the three general classes of loans? Give an example of an asset or type of capital acquisition that each type of loan would be used to finance.

Q:

Suppose that fX,Y(x, y) = 2 3 (x + 2y), 0 x 1, 0 y 1 [recall Question 3.7.19(c)]. Find E(X + Y).

Q:

Marksmanship competition at a certain level requires each contestant to take ten shots with each of two different handguns. Final scores are computed by taking a weighted average of 4 times the...

Q:

Suppose that Xi is a random variable for which E(Xi) = , i = 1, 2, . . . , n. Under what conditions will the following be true? . 4.- i=1

Q:

2. An overview of a firm's cost of debt To calculate the after-tax cost of debt, multiply the before-tax cost of debt by (1T). Omni Consumer Products Company (OCP) can borrow funds at an interest...

Q:

Byron Books Inc. recently reported $18 million of net income. Its EBIT was $24.3 million, and its tax rate was 25%. What was its interest expense? (Hint: Write out the headings for an income...

Q:

Pappys Potato has come up with a new product, the Potato Pet (they are freeze-dried to last longer). Pappys paid $121,000 for a marketing survey to determine the viability of the product. It is felt...