Proficiency #1. [Statements] Which of the following sentences are statements? Do not worry about whether they are true or false. (Choose all that are correct.) I. For all sets A, B, AN B C AUB. II. The function f : R → R defined via f(x) = Vx² + 1 is one-to-one. III. The domain of f is equal to the range of g. IV. A = {x € Z | a² < y}. V. C is an equivalence relation on P(N). VI. U Aa. aƐR

Q: Which of the following statements is NOT true? O For every input in a function there can be only one…

A: Function: It is a special type of relation. Let us consider two sets A and B. A mapping is defined…

Q: The domain of the function y= f(x) is (Type your answer in interval notation.)

A:

Q: Which of the following are functions from the set {x,y,z) to the set {a,b,c,d)? If the set of…

A: We have domainA = {x,y,z} Range B = {a,b,c,d} We have two sets or ordered pair a. {(x,a)…

Q: Which of the following sentences are statements? Select one or more: O a. The sum of two odd…

A: A sentence is a mathematical statement if it is either True or false.

Q: Evaluate the function for the indicated va Evaluate f (-12). {7 x 4 Select one: O a. 7 O b. -12 O…

A: See range of x and solve

Q: Determine the

A: Given relation is: T = {(x, y) : x in R and y in N} We have to find the domain and range of the…

Q: 1 6. R (x) = 1- (-2 — х)?

A: firstly we will draw graph of 1x2 Then we know the graph of 1(-2-x)2=1(x+2)2will shift the graph of…

Q: 3. Determine whether each relation is a function. Explain your answer. a. b. С. X y X y y a b 5 10 b…

A: A Relation is called function if every elements of domain has unique image in co domain.

Q: a) Find the simplified form of the difference quotient for the function f(x) = 3x²-3x+5. b) Complete…

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Q: The tables give some selected ordered pairs for the functions f and g.   x 5 8 12 f(x) 9 5 7…

A: Given data÷ x 5 8 12 f(x) 9 5 7         x 10 4 13 20 g(x) 8 5 12 21

Q: fferentiable.

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Q: State whether the relation defines y as a function of x. The correspondence between the x values and…

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Q: Select which value of x would make the relation below not a function

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Q: Determine which is a function from x to y. {(d,a), (a.a), (e,b), (b,c)} {(2,1), (5,2), (5,3), (6,4)}

A: The solution is given as