Given the relations F = {(q, p)|5p − 4q2 − 3 = 0 p, q ∈ ℝ} and                                G = {(p, q)|5p − 4q2 − 3 = 0 p, q ∈ ℝ} a. Give expressions that identifies the domain and range of the relation F and relation G b. State with explanation whether the relation is a function and if it is, whether it is an injection, a surjection for both relations F and G. c. Using ,either one of the relations F or G, redefine the variables p and/or q so that your relation is a bijection

Q: a. Write a set of ordered pairs (x, y) that defines the relation. b. Write the domain of the…

A: As there are multiple sub parts, only first three are solved here.

Q: Recognize whether each relation is a function, and state its domain and range. a) b) 8- 24 -2 0 -N 2…

A:

Q: Define the relation R = {(a.b): a + b < ab} = A x B with A = {1,2,4} and B = {2,5,6). List all the…

A:

Q: Given the relations F = {(q, p)|5p2 − 4q − 2 = 0 p, q ∈ ℝ} and                                    G…

A: For function of two variables y=f(x), the set of all values of x for which y is defined is called…

Q: The ordered pair ((x.y)|y=x2) is a relation but not function True B False

A: Relation : it shows relationship between input and output. Function : it derives one output for each…

Q: Let A = {1,2,3,4} and B = {4,5,6,7,8} and R be the definite relation of A to B determined by the…

A:

Q: Let A = {1, 2, 3} and B = {0, 1, 2} and let R be a relation from A to B if, and only if, x is less…

A: Given, A=1, 2, 3B=0, 1, 2

Q: 8. What is the domain and range of the following relation? y=x²-2x-3 y 5 8 X

A:

Q: 1. Determine if the following relations describe a function. Justify your answer. a) R1 = {(1,8),…

A:

Q: Use the vertical line test to determine if the graph show relations that are functions

A: The graph of the given relation is shown as,

Q: The relation,R={(2,1),(1,3),(3,2),(1,0)}, be definedR:{0,1,2,3}→{0,1,2,3}:(a) FindR−1, the inverse…

A:

Q: 7. Decide whether the relation defines a function. a. {(-3, -2), (3, 6), (4, 6), (7, -7), (10, -1)}…

A: Given that, a) -3,-2,3,6,4,6,7,-7,10,-1 b) y=x3 c) x=y2+1 We have to find that the relations are…

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

A:

Q: Let A = {3, 4, 5}, and B = {−5, -3, -2, -1}. Define a relation R from A to B as follows: For all (x,…

A:

Q: In each number: i. determine the domain and range ii. determine if the equation is a function or a…

A: