20. Chapter 2 Conceptual Questions. (a) Consider the polynomial f(x) = 4x - 3x +5. i....

  

Transcribed Image Text:

20. Chapter 2 Conceptual Questions. (a) Consider the polynomial f(x) = 4x³ - 3x² +5. i. What is the end behaviour of f? ii. Change one coefficient or exponent so that as x-co, f(x) → +∞ and as x +∞o, f(x) → +∞0. iii. Change one coefficient or exponent so that as x, f(x) +∞ and as x → +∞o, f(x) →→∞0. (b) A graph of a polynomial function has 3 turning points. What is the smallest degree the polynomial can have? What is the largest degree the polynomial can have? Do you know anything more about the degree or the polynomial? (c) Can a degree 2 polynomial have no x-intercepts? If it does not, what do you know about its zeros? Can a degree 3 polynomial have no x-intercepts? Why or why not? 20. Chapter 2 Conceptual Questions. (a) Consider the polynomial f(x) = 4x³ - 3x² +5. i. What is the end behaviour of f? ii. Change one coefficient or exponent so that as x-co, f(x) → +∞ and as x +∞o, f(x) → +∞0. iii. Change one coefficient or exponent so that as x, f(x) +∞ and as x → +∞o, f(x) →→∞0. (b) A graph of a polynomial function has 3 turning points. What is the smallest degree the polynomial can have? What is the largest degree the polynomial can have? Do you know anything more about the degree or the polynomial? (c) Can a degree 2 polynomial have no x-intercepts? If it does not, what do you know about its zeros? Can a degree 3 polynomial have no x-intercepts? Why or why not?

Answer rating: 100% (QA)

20 a Given flx 4x3x5 1 FF Degale of fx is 3 odd and 3 odd and leading Coefficient is 4 p... View the full answer