Let o(H) be the order of the smallest colour class in any proper x(H)-colouring of H. Pro G20(H) for a graph G, then r(G, H) 2 (G|-1)(x(H)-1)+o(H).

Q: 3. Using the accompanying graphs, find: a. g(f(2)) b. f(g(-1)) c. g(f(0)) d. g(f(1)) y -3 3 -4 -5…

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Q: Sketch the graph of g(x) = -x+1 for x≤2 x-3 for x>2

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Q: -2-

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Q: Sketch the graph of g if (3x + 4)(x – 1) g(x) (2x – 5)(x – 1)

A: Given, gx=3x+4x-12x-5x-1

Q: Q3) Plot a discrete graph using the equation below y[n]u[-1-n] -2.08 [n 1] +2.08[n - 2]

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Q: if x 2 Note: Be sure to include closed or open dots, but only at breaks in the graph. Sketch a…

A: We have,  Graph is given.    0          if  x ≤ - 1;   - x - 1     if  - 1 < x ≤ 2;      0…

Q: Which graph represents g(x)=-3(x-5)(x+1)

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Q: Characterise graphs G such that i(G) = c(G)

A: Given that, G is a set of graphs such that iG=γcG The set G is characterized as shown below.

Q: lim k(x) x→8

A:

Q: 12+ 10+ 7+ +9 5+ Graph - 2|2| g(æ) = 12-11-jo -9 -8 -7 -6 -5 -4 -3 8 9 10 11 12 at right. The graph…

A: We know that,

Q: Both OM 0.287 0.147 0.716 Neither 0.144

A: Solution

Q: + The graph in Figure 1.26 is a representation of which function? Y 15+ 11 7 3 -2-1 Figure 1.26 O…

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Q: .-) oketen a graph of p(x) =-21x-11 + 4 2 12 6-5 -4 -3-21 1 2 3 456 2 4 0-3 5 6 7. Given f (x) x24,…

A: As per norms, the three subparts a, b and c are answered. Questions regarding the functions f , g…

Q: Sketch the algerbraic graph for d(x)=(x-2)2+3

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Q: 12. The graph shown represents the function, 4- 3- A) ƒ(x) = 3*-2 +1 B) f(x) = 3*-1 +2 C) f(x) =…

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Q: (a) |V(G)| > a(G) · w(G) (b) |V(G)| = a(G) · w(G) (c) |V(G)| < a(G) - w(G)

A: This is a problem of Graph Theory.

Q: 7.) Graph the following transformation using the graph below: -g(x-1)+3 y g(x) (-1, 4) 5 x (÷4, -2).…

A: -g(x-1)+3 means g(x) moved 1 unit to the right. Reflected over the x-axis and moved 3 units up.…

Q: w đô hegative signs act graphs? c. What differences do you notice between the graphs of x2 and – x2…

A: Given: c) x2 and -x2      If the negative sign belongs to the y, then the graph will flip about the…

Q: Let G be a simple graph with n vertices and m edges. Show that [xn-¹]XG(x) = [xn-2]XG(x) is m(m -…

A: We know that the chromatic polynomial of a graph G with n vertices and m edges can be expressed as a…

Q: 3. Let G be a graph with |V(G)| = 8, such that A(G) = 4. Show that (G)| < 36.

A: The solution is in given below

Q: Prove that for any graph G, y(G) ≤ 2ir(G)-1.

A: Please find the attached solution

Q: Draw the graph of f(x) = 52-4

A: f(x)=5x−4

Q: The following is a graph of g (x) = -2 x² O True False

A: Given:

Q: -5 -5- 0 -5- -50. 10

A: Ans:

Q: 1 f(x) = %3D (x – 1)(x – 2) 1) As x 1 , f(x) → 2) As x → 1*, f(x) → +, f(x) - 3) As x 2 , f(x) →

A: As question have more than 3 subparts we are providing solution for first three subpart, If you want…

Q: 15. (LO17) The graph of the function (*) = 3" +k_is shown below. Determine the value of k for the…

A: Option (A) k=-2 is correct.

Q: delete tab (b) Sketch a graph of g (x)x - 2)3 3. enter 2 aps lock retur -1 6-5-4-3-2 216 . 213 2 3 2…

A: (b)Obtain the graph of the given function as follows.Substitute some positive and negative values…

Q: 1. Give a proof or a counterexample for the statement: for every graph G, x(G)<|V(G)|-a(G)+1. You…

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Q: (a) If x(G) = 1, what can you say about E(G), the edge set of G? (b) Prove that x(Km) = n, where K„…

A: “Since you have posted a question with multiple sub-parts, we will solve the first four sub-parts…

Q: On weekends and holidays, an emergency plumbing repair service charges $60 for the first 30 minute…

A: According to the problem, we need to plot the graph of the function C(x) for 0&lt;x&lt;=90. So, 1st…

Q: Draw the graph of f(r) = 2 3" 20+ 18- 16 14 12 10 6- 4 2 10 -9 -8 -7 -6 -5 -4 -3 2-1, 4 6. IC -4 -6…

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