Surjective functions (c) How many surjective functions f: {1, 2, 3, 4, 5} {1, 2} are there if f(1) = 1? How does this→number change if f(1) = 1 and f(2)=2? Show all your working and justify your answers.

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Answered: → (c) How many surjective functions f:…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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The Power Rule ional number, then the function f(x) = x" The Constant Rule The derivative of a constarPress Esc to exit full screen entiable and... d n- The Constant Multiple Rule If fis a differentiable function and c is a real number, then cf is differentiable and... The Sum and Difference Rules The sum (or difference) of two differentiable functions, fand g, is differentiable and... le- S(x)]=c•f (x) IS(2) ±g(x)] = f(x)± g (x) Use an applicable rule to find each derivative. 1. f(x) = x' – 2x³ + 7x–12 2. g(x)= 3x +2x+1 3. s(t) = -161? +70t + 500 2 4. y =- 5. y= 2/x 4x 6. у%3 7. у%3 8. y= 9. f(x) =x' – 4x+5 - 11. h(x) = Vx – Vx - 1 7 12. f(x)=- 10. g(x)= - -+3x - 2х 13. f(x)=x² +5 – 3x 14. h(s) = s* – s* 15. F(T')=T* –T* +4 16. у%3 3x(6х - 5х*) x' - 3x +4 2x? -3х +1 17. f(x)= 18. h(x) = x?
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→ (c) How many surjective functions f: {1, 2, 3, 4, 5} {1, 2} are there if f(1) = 1? How does this number change if f(1) = 1 and f(2)= 2? Show all your working and justify your answers.