## anonymous one year ago Medal AND FAN!!!! Describe the graph of the function f(x) = x3 − 15x2 + 68x − 96. Include the y-intercept, x-intercepts, and the end behavior

1. Nnesha

y -intercept where line cross y-axiss and x-intercept where line cross x-axis did you graph it on a calculator ?

2. anonymous

no

3. Nnesha

if the highest degree is a odd number and the leading coefficient is negative then right end will fall and left end will rise **and if the leading coefficient is positive then right side will rise and left will fall

4. Nnesha

alright graph that equation first

5. Nnesha

btw you DON'T have to for y-intercept (when line touch the y -axis x=0) so plug in 0 for x solve for y x-intercept when y =0 so plug in 0 for y solve for x

6. anonymous

7. anonymous

Root plot for : y = x2-7x+12 Axis of Symmetry (dashed) {x}={ 3.50} Vertex at {x,y} = { 3.50,-0.25} x -Intercepts (Roots) : Root 1 at {x,y} = { 3.00, 0.00} Root 2 at {x,y} = { 4.00, 0.00}

8. Nnesha

hmm

9. Nnesha

nah i can easily figure out that graph is wrong bec highest degree is odd which is 3 your graph should be like this |dw:1437394937194:dw|

10. Nnesha
11. anonymous

so what is the x-intercept

12. Nnesha

https://www.desmos.com/ use this calculator or replace y by 0 solve for x

13. Nnesha

|dw:1437395209573:dw|

14. anonymous

what is the end behavior

15. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @Nnesha if the highest degree is a odd number and the leading coefficient is negative then right end will fall and left end will rise **and if the leading coefficient is positive then right side will rise and left will fall $$\color{blue}{\text{End of Quote}}$$ ^

16. Nnesha

$\huge\rm Ax^3+Bx^2+Cx+D$ A is leading coefficient 3 is highest degree

17. anonymous

so 3

18. Nnesha

19. anonymous

the end behavior

20. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @hamza123 Root plot for : y = x2-7x+12 Axis of Symmetry (dashed) {x}={ 3.50} Vertex at {x,y} = { 3.50,-0.25} x -Intercepts (Roots) : Root 1 at {x,y} = { 3.00, 0.00} Root 2 at {x,y} = { 4.00, 0.00} $$\color{blue}{\text{End of Quote}}$$ you graphed the wrong equation :/........

21. Nnesha

nope highest degree is 3 what about leading is it negative or positive ?

22. Nnesha

23. anonymous

postive

24. Nnesha

yes so right side will rise and left side will fall

25. Nnesha

this is the graph http://prntscr.com/7uthm4 of x^3 +15x^2 +68x-96

26. anonymous

(3,0) x -int

27. Nnesha

yep one x-intercept is 3 there are more..

28. Nnesha

how many times graph is crossing the x-axis or highest degree represent the number of x-intercept

29. Nnesha

highest degree is 3 so = 3 x-intercept

30. anonymous

31. Nnesha

desmos.com graph the equation zoom out a little bit you will see the point where line cross y-axis that is your y-intercept

32. Nnesha

or $\huge\rm y =x^3 +15x^2 +68x-96$ or replace x by 0 solve for y

33. anonymous

y-int (1,8)

34. Nnesha

nope when line cross y-axis x equal to 0 so x is 0

35. anonymous

i cant find it

36. Nnesha

replace x by 0 let me know what you get

37. anonymous

(0,8 )

38. Nnesha

how did you get 8 ?

39. Nnesha

40. anonymous

i keep on looking at desoms graph

41. anonymous

can tell me what it is

42. Nnesha

did you graph it on desmos ??

43. anonymous

yes

44. Nnesha

okay hit the zoom out button you will see the point

45. anonymous

0,-96

46. Nnesha

yes

47. anonymous

ii just need the end behavior

48. Nnesha

49. anonymous

3

50. Nnesha

nope end behavior meaning define the graph when it's increasing or decreasing it's not gonna be a number

51. anonymous

increasing because the leading coefficient is positive

52. Nnesha

both ends are increasing ?

53. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @Nnesha if the highest degree is a odd number and the leading coefficient is negative then right end will fall and left end will rise **and if the leading coefficient is positive then right side will rise and left will fall $$\color{blue}{\text{End of Quote}}$$ read this please leading coefficient is positive so how right end behave and how left side behave

54. anonymous