TMA Questions and Answers: MTH106- Mathematics for Management Sciences II (Contd)

Set of the form A = {x:x > 1} B = {x: x > 2 } , C = {x: x < 3} are called _ Answer: infinite intervals 

Set A is bounded if there exists a positive number M such that ____________________ _ Answer: \(|x|\leq M\)

Let \(f:A\rightarrow B\), which reads дуґf is a function of A onto B. The set A and B are called theду_ _ Answer: domain and codomain 

Let \(f\) assign to each real number its square, that is, for every real number \(x\) let \(f(x) =x^{2}\). The domain and co-domain of \(f\) are _ Answer: both the real numbers 

If the domain and co-domain of a function are both the same set, then \(f\) is frequently called _ Answer: an operator or transformation on A

If \(f\) and \(g \)are functions defined on the same domain \(D\) and if\( f (a) = g (a)\) for every \(a\in D\), then the functions \(f \)and \(\g) are __________ _ Answer: equal

Let \(f (x) = x^{2}\) where x is a real number. Let \(g(x) = x^{2} where \(x\) is a complex number. Which of the following statements is trueду_ _ Answer: the function\( f\) is not equal 

to \(g\) since they have different domains

Let \(f\) map \(A\) into \(B\). Then \(f\) is called a ду_ if different elements in \(B\) are assigned to different elements in |\(A\). _ Answer: injective functions 

___________are essentially a series or fixed payments required from you or paid to you at a specified frequency over the course of a fixed time period _ Answer: Annuities

Let \(f:A\rightarrow B\), which reads дуґf is a function of A onto B. The set A and B are called theду_ _ Answer: domain and codomain 

Let \(f\) assign to each real number its square, that is, for every real number \(x\) let \(f(x) =x^{2}\). The domain and co-domain of \(f\) are _ Answer: both the real numbers 

If the domain and co-domain of a function are both the same set, then \(f\) is frequently called _ Answer: an operator or transformation on A

If \(f\) and \(g \)are functions defined on the same domain \(D\) and if\( f (a) = g (a)\) for every \(a\in D\), then the functions \(f \)and \(\g) are __________ _ Answer: equal

Let \(f (x) = x^{2}\) where x is a real number. Let \(g(x) = x^{2} where \(x\) is a complex number. Which of the following statements is trueду_ _ Answer: the function\( f\) is not equal 

to \(g\) since they have different domains

Let \(f\) map \(A\) into \(B\). Then \(f\) is called a ду_ if different elements in \(B\) are assigned to different elements in |\(A\). _ Answer: injective functions 

___________are essentially a series or fixed payments required from you or paid to you at a specified frequency over the course of a fixed time period _ Answer: Annuities

__________are primarily used as a means of securing a steady cash flow for an individual during their retirement years. _ Answer: Annuities

Straight bonds usually pay coupon payments at the end of every six months until the bonds maturity date is an example of ___________ _ Answer: ordinary simple interest 

Payments that are required at the beginning of each period denotes _____________ _ Answer: annuity due