Define a relation R on the real numbers as follows: x R y if and only if [x – y] = 0. Is R an equivalence relation?

Q: identity each function as odd/even/hel ther k(x) = |z-4-2 h(z) = ² + 5 j(x) = 4 ol -51 104 W -54 MA

A: According to our guidelines,i can solve only first three ,please reroute the remaining question.

Q: Write a function rule for the statement. 7. The output is half of the input. 8. The output is eleven…

A: According to our company guidelines we are supposed to answer only one question and three subparts,…

Q: -10-8 6 4 2 2 4 6 8 10 2 4 6 8 10 X

A:

Q: A relation is a set of ordered pairs where the first element is called the range while the second…

A: Solution is given below:

Q: Below are four sets of ordered pairs. Identify each using the following: n = the set of ordered…

A: Given that n = the set of ordered pairs does not represent a functionf = the set of ordered pairs…

Q: 1 2 7 12 3 3 3 15 3 4 7 1 9

A: Recall that a relation f (also called correspondence or rule) from a set of objects A to another set…

Q: K Evaluate each of the following expressions using the given table of values. -4 -3 -2 1 -2 -4 -1 -2…

A:

Q: 10. Explain the concept and notation of a function space

A: In mathematics, a function space is a set of functions of a given kind from a set X to a set Y. It…

Q: describe the domain and range of the following function in inequality notation

A: The domain is the set of all x-values.As we can see the function has a close dot at x=-6 and the…

Q: Give an example of a function that is one-to-one on the entire real number line.

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Q: Every function is a relation of its domain and codomain. O True. O False.

A: A relation defined between two sets X and Y contains ordered pair a,b such that  a∈X ,  b∈Y. It…

Q: Input Output 6. 7 3 8. 10 6. Function: 2. 4.

A: On solving, we get

Q: How many one-to-one functions are there from the set A=(1,2,3,4,5) into the set B={1,2,3,4,5,6,7,8)?…

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Q: It is possible for the F-ratio to be a negative number

A: It is possible for the F-ratio to be a negative number

Q: einx

A:

Q: What is the domain of the following function: f (æ)=-3 Z+3 Z-5 %3D a. x # 5, –3 b. a > -3 c. All…

A:

Q: 5. Determine the domains of each of the following functions. State your answers in set-builder…

A: To find the domain

Q: If the rule of the function fis "add four" and the rule of the function g is "multiply by 7," then…

A: the rule of the function f is 'add four' and the rule of the function g is 'multiplied by 7'

Q: Q1. (a) How many functions are there from a set with 3 elements to a set with 5 elements?

A: We find total number of functions from a set with 3 elements to a set with 5 elements.

Q: Addition (i.e.+) maps pairs of numbers to another number For example, 1+1- 2 maps the pair (1, 1) to…

A: The set of real numbers consists of rational and irrational numbers. A function is a relation in…