Answer with True or False. 1. The functions from Z to Z is onto if f(n)=n−1. 2. These function from {a, b, c, d} to itself is one to one if f (a) = d, f (b) = b, f (c) = c, f (d) = d. 3. These function from {a, b, c, d} to itself is onto if f (a) = b, f (b) = b, f (c) = d, f (d) = c. 4. These function from {a, b, c, d} to itself is onto if f (a) = b, f (b) = a, f (c) = c, f (d) = d.

Q: 17. 3 5 0 " -6 5 4

A: Any set of  vectors containing null vector (zero vector) is always linearly dependent.

Q: 3. Let a, b, c, d be real numbers with a < b and c < d. Find a one-to-one correspondence between (a,…

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Q: Tapoint on the function, /(x), s(-8,9). state the corresponding point on its inverse (0).

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Q: Consider each of the following relations (x, y) ER, where x = {1, 2, 3, 4, 5} and y E N. Which of…

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Q: 11. Let A = {1,2,3,4} and B = {A, B, C, D, E}. Consider the following relations and state whether…

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Q: Let f be the function from {a, b, c, d, e} to {1,2,3,4} with ƒ(a) = 3, ƒ (b) = 1, f(c) = 2, f(d) = 4…

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Q: 5. Let D = {1, 2, 3, 4, 5}, C = {a, b, c, d}, and g = {(1,a), (2,c), (3,d), (4,c)}. Determine…

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Q: 2. Find the Domain of the given functions/relations A={(1,3),(2,4),(3,0) B={(1,2),(0,2).(5,4) D={2,…

A: Here, we have to find domain (D) and range (A) of set A and B

Q: 7. Find the function U, whose first difference is *C

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Q: . Determine if y is a function of x in x = y? + 5.

A: Given equation - x = y2+5Let's solve for y =- y2 = x-5y = x-5       ........(1)

Q: (-x ifx 2 a) f(3) b) f(-3) c) f(1) d) f(2) e) f(-2)

A: Compute the following function values for D- F(2) and E- F(-2)

Q: Given that A = {1, 2, 3, 4, 5} and B = {x, y, z}, determine which of the sets of ordered pairs…

A: 1.  i) This ordered pair doesn't represents a function because the values 'y' corresponding to x= 4…

Q: 2. A function, f, is called ....if, whenever a + b, then f (a) + f (b). That is, for any two…

A: Here if a≠b then f(a)≠f(b) is equivalent as f(a)=f(b) then a=b

Q: A TUN f: {1,2,3,4} is defined by f(1) = 6, ƒ(2) = 7, f(3) = 8, Drag the answers into the right place…

A: Given function is f:1, 2, 3, 4 → 5, 6, 7, 8 defined by f(1) = 6, f(2) = 7, f(3) = 8, f(4) = 6

Q: . Let f= {(-4,4), (-2, 4), (1, 3), (3, 5), (4, 6)} and g= {(-4, 2), (-2, 1), (0, 2), (1, 2), (2, 2),…

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Q: Let f = {(1, 2), (3, 4), (2, 6), (5, 9}. Find the domain of f

A: Given function  f = { ( 1 , 2 ) , ( 3 , 4 ) , ( 2 , 6 ) , ( 5 , 9 ) }

Q: 4. Let m and b be real numbers, and consider the following three functions: f(x) = 2x + 1, g(x) = -x…

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Q: (6a)  how many different functions f : A → B can be defined if m=3 and n=5?  (6b) if m=4 and n=6…

A: The solution is given in the below step.

Q: 5. Let f, and f, be the function from R to R such that f,(x) = x²+2x+3 and f,(x) = x-x. What are the…

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Q: 3. Suppose the function f is the single point (6,-9) . Then f inverse is (-9,6) (-6,9) (9,-6)

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Q: 2. U = {11,22, 33, 44, 55}. V = {1,2,3,4}. uRv if and only if u - v is even. Draw an arrow diagram…

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Q: 7. Let A = {a, b, c, d}, B = {c, d, e}, and C = {f, g, h, i}. (a) How many functions are there from…

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Q: 2. If f(2) = e*, describe the images under f(2) of horizontal and vertical lines, i.e. what are the…

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