1. This two part question asks you to determine whether a given map represents a function.ansgetal la sol(a) Determine whether f: QxQ→Q, given byis a function.f(a/b, c/d) = (a + c)/(b+d)f(1²/1, ²) = (a +()nordestens to (btd).(b) Determine whether f: Q→ Z, given byis a function.f(a/b) = (a + b)(a - b)

Answered: Image /qna-images/answer/ad80bedb-ae7d-49a8-b191-565014fb0793.jpg

Answered: 1. This two part question asks you to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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C. State whether or not the following relations are functions. Also, give their domain and range. 1) S = {(1, 1), (2,1), (3,1)} 2) T = {(a, 5), (e, 5), (u, 6), (e, 6)} = {((1,2), 3), ((2,1), 4), ((1,3),4)} 3) R = 4) 0 = {(x,y) y = } = {(x,y) y = √4x²} 6) G = {(x, y) ly = |x + 1|} 5) N =
ضحقعفحصجشمينلتةةئرؤزذز
Let f be the function from {a, b, c, d, e} to {1,2,3,4} with ƒ(a) = 3, ƒ (b) = 1, ƒ(c) = 2, ƒ(d) = 4 and ƒ(e) = 2. a. Is the function f one-to-one? Justify your answer.
27
= mx + b. 4. Let m and b be real numbers, and consider the following three functions: f(x) = 2x + 1, g(x) x + 2, and h(x) A. If function f has a codomain of (5, 7) U (7, 9), the largest its domain can be chosen is (2, 3) U (3, 4). Explain. B. If function g has a codomain of (−1, 1) U (1, 3), the largest its domain can be chosen is (-3, 3) U (3, 9). Explain. C. Within the context of the e- definition of a limit, your result from part A suggests that if € is equal to 2, the largest that can be chosen for function f(x) is 1. Explain. =
Draw a diagram out of these sets
12) Consider the two functions given below: Function I:f (2) = –9z² + 30z + 100 Function II: 30 20 10 -50 -40 -30 -20 -10 o0 10 20 30 40 50 -10 -30 When these functions are compared, it can be stated that A function I B function I| has the greater value for the y-intercept. However, both functions have positive values for A the slope B the x-intercept all z > 40
3. What is the domain of y = f
all the options are: is or is not
EVALUATE: A. Determine if the set is a function. If it is a function state its domain. 1. { (xy)/y = Vx - 4 } 2. { (x,y)/y= Vx2 - – z23 4 } 3. { (x,y)/y= V4 4. { (x,y)/ x² +y2 = 4 } } 5. { (x,y)/y= 3x2

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1. This two part question asks you to determine whether a given map represents a function. stal La (a) Determine whether f: Qx Q→ Q, given by is a function. f(a/b, c/d) = (a + c)/(b+d) f ( ² /, ²) = (a +() (bfd) (b) Determine whether f: Q→ Z, given by is a function. f(a/b) = (a + b)(a − b)