10.9. Determine which of the following five relations R; ( i =1,2,..., 5) are functions. a. R1 is defined on R by x R1 y if x² + y? = 1. b. R2 is defined on R by x R2 y if 4x² + 3y² = 1. c. R3 is defined from N to Q by a R3 b if 3a + 5b =1.

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: 1. Use the following four relations to answer questions a) through d) below. i) {(-1,3), (2,4),…

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Q: 18. For what value of x will make the relation {(2,5), (9, 7), (x – 7,9), (18, 11)} a function? 16…

A: We find the value of x that will make the relation {(2,5), (9,7), (x – 7,9). (18, 11)} a function.

Q: 5. Which of the following relations is NOT a function? Input 5 10 A Output 2 73 45 345678 9 Input 10…

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Q: 1.6. Consider the arrow diagrams for the relations R and S and answer the questions related to them.…

A: Since there are multiple questions, we will solve the first question.  Repost the question to get it…

Q: 1. Construct an example of a relation 2. Construct an example of a relation that is not a function…

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Q: -1, -3, -5, –7}. Determine whether each relation on X is a fur (-3, –5), (–1, –7), (–3, –1), (–5,…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

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: 4. Make a table of values for each relation. Use the table to determine if the relation is…

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Q: XI. Refer to the functions f, g, and h defined here. f(x) = 1/x, g(x) = 2 vx, and h(x) = x2 -1…

A: Using rules of functions.

Q: 7. Compute gfg, the conjugate pair of f by g for f= (2, 3, 5, 4) and g = (1, 3, 2)(4, 5).

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Q: Refer to the following functions g and h. g(n) = n² +n h(n) = n² –n Evaluate each function below: a)…

A: The given functions are gn=n2+nhn=n2-n