Domain range and codomain - Study guides, Class notes & Summaries

1(a)   A function, f say, is a set of ordered pairs in which no two distinct elements have the same first entry. If A is a source set of f and B is a codomain of f then we use the notation f : A→B read as ‘f is a function from A to B ’. 4marks f ( x )=x2 1(b) g ( x)=2 x−3 f ( 2 x−3)=∣2 x−3∣2 ¿ (2 x−3) (2 x−3 ) 2−12 x+ 9 4 1 ¿ 4 x 2 mark s 1(c) (i) The Modulus or Absolute Value f...

Linear Algebra Final Exam algebraic multiplicity - Answer-the multiplicity of an eignevalue as a root of the characteristic equation basic varriable - Answer-a variable in a linear system that corresponds to a pivot column in the coefficient matrix basis - Answer-an indexed set B = {v1,...,vP} in V such that (i) B is a linearly independent set and (ii) the subspace spanned by B coincides with H, that is, H = Span{v1,...,vP} (maximal linearly independent set) best approximation - An...

SMA 2101: CALCULUS I c Francis O. Ochieng Department of Pure and Applied Mathematics Jomo Kenyatta University of Agriculture and Technology Course content • Functions: definition, domain, range, codomain, composition (or composite), inverse. • Limits, continuity and differentiability of a function. • Differentiation by first principle and by rule for x (integral and fractional n). • Other techniques of differentiation, i.e., sums, products, quotients, chain rule; their applicat...

Discrete Mathematics- Exam Questions Answered Correctly Latest Version () Already Passed set - Answers a collection of objects (order is not taken into account) logic - Answers the study of reasoning element - Answers a member of a set | - Answers character representing "such that" Z - Answers character representing "the set of all integers" Q - Answers character representing "the set of all rational numbers" R - Answers character representing "the set of all real ...

LS 30A: MATHEMATICS FOR LIFE SCIENTISTS FALL – LECTURE 2 STUDY GUIDE FOR THE FINAL EXAM IN SHORT You need to know all the material that was covered in the lectures and also all the material from the textbook that corresponds to what was covered in the lectures, with a small number of exceptions that will be indicated below. The Further Exercises from your homework are the best indication of what to expect. You will need a basic, non-programmable calculator on this exam. The following i...

LS 30A: MATHEMATICS FOR LIFE SCIENTISTS FALL 2019 – LECTURES 2 and 3 STUDY GUIDE FOR THE FINAL EXAM IN SHORT You need to know all the material that was covered in the lectures and also all the material from the textbook that corresponds to what was covered in the lectures, with a small number of exceptions that will be indicated below. The Further Exercises from your homework are the best indication of what to expect. You will need a basic, non-programmable calculator on this exam. The...

Computer science important mcq | Questions & Answers 2023 Latest UpdateComputer science important mcq 1. how can you open a link in new tab/browser window ? a. <a href ="url"target ="new"> b. <a href ="url"target ="blank"> c. <a href ="url"new" d. none of above 2. how can you insert header and footer in ms-word document ? a. double clicking on header and footer area b. using insert >header/footer menu c. both a& b d. none of the above 3. how can you displa...

Computer science important mcq | Questions & Answers 2023 Latest UpdateComputer science important mcq 1. how can you open a link in new tab/browser window ? a. <a href ="url"target ="new"> b. <a href ="url"target ="blank"> c. <a href ="url"new" d. none of above 2. how can you insert header and footer in ms-word document ? a. double clicking on header and footer area b. using insert >header/footer menu c. both a& b d. none of the above 3. how can you displa...

Computer science important mcq | Questions & Answers 2023 Latest UpdateComputer science important mcq 1. how can you open a link in new tab/browser window ? a. <a href ="url"target ="new"> b. <a href ="url"target ="blank"> c. <a href ="url"new" d. none of above 2. how can you insert header and footer in ms-word document ? a. double clicking on header and footer area b. using insert >header/footer menu c. both a& b d. none of the above 3. how can you displa...

(a) A function, f say, is a set of ordered pairs in which no two distinct elements have the same first entry. If A is a source set of f and B is a codomain of f then we use the notation f : A→B marks 1 2 1(c) (i) The Modulus or Absolute Value function mod ( x )≡∣x∣ f : R→R mod ( x ) or ∣x∣= x x >0 0 x=0 −x x ∈0 4 1 marks Properties y (i) ∣x∣>0 (ii) ∣...