Let f: A → B be a function, and let C be any set such that BCC. True or False: f : A → C is always a function. True False

Q: Let f be a function from the set A to B. Let S and T be subsets of A. Show that f-1(S intersection…

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Q: For a function f: A --> B and subsets C and D of A and E and F of B, prove that the relationship is…

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Q: Let A = {a, b, c}. Define the function f: p(A)→N, by f(X) = card(X), where p(A) be the power set of…

A: Given A = {1,2,3} then ρ(A) = {ϕ , {a} , {b} , {c} , {a,b} , {a,c} , {b,c} , {a,b,c}} Define f :…

Q: Determine if the given expression is a function or not, if it's a function show that if its a one to…

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Q: Prove that every function is relation but converse is not true, given the answer to supports your…

A: A function is a relation that has one and only one unique element on the range for each element in…

Q: Let f:R → R be the function with rule f(x) = 5x + 2, and let g: R → R be the function with rule y –…

A: To find  f0g(-1)  And  f0g(6)

Q: the following definition using symbols:  A function f(x) is increasing iff for every real x and…

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Q: Let f be a measurable function ,then f is measurable.

A: I will use the property of a measurable function.

Q: Suppose that the function h is defined, for all real numbers, as follows 1 3 h(x)= 2 x-5 if x #2 if…

A: Given function is h(x)=x23 if x≠22 if x=2We have to find the value of h(-2),h(2) and h(4)

Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

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Q: If F is a function from A to B and x is an element of A, then F(x) is ________.

A: It is given that F is the function from A to B.It is known that if A and B are sets and F is a…

Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: Let f be a function of x. Which of the following statements, if true, would guarantee that there is…

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Q: True or False A function is a relation between two sets Dand R so that each element x in the first…

A: By definition: A function is a relation from a set of inputs to a set of possible outputs where each…

Q: Brenton's weekly pay, P(h), in dollars, is a function of the number of hours he works, h. He gets…

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Q: Let A- (Blanche, Rose, Sophia, Dorothy), B-(Red, Blue, Yellow) and consider the function f: A B…

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Q: Which of the following relation is a one-to-one function? Write your answers on the space provided..…

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