## Barrelracing one year ago Describe the graph of the function f(x) = x3 − 15x2 + 68x − 96. Include the y-intercept, x-intercepts, and the shape of the graph.

1. Barrelracing

x- (3,0) y- (0, -96)

2. Nnesha

highest degree is 3 so thats mean there supposed to be *3* solutions (x-intercept , zeros )

3. Barrelracing

well I already found the x and y intercept I just don't know what the graph looks like.

4. Nnesha

yea so i'm saying there isn't only one x-intercept x-interceptS!

5. Barrelracing

6. anonymous

This is when a graphing calculator will come in handy

7. Nnesha

for the direction if highest degree is 3 then if leading coefficient is negative ( right end will fall , and left end will rise ) and if leading coefficient is POSITIVE ( right end rise and left end will fall)

8. Nnesha

and yes for x-intercepts better to graph that equation otherwise too much work to do!

9. Barrelracing

I'm so confused

10. Nnesha

are you allowed to use a calculator ?

11. Nnesha

http://www.wolframalpha.com/ graph t

12. Nnesha
13. Barrelracing

yes

14. Barrelracing

ok I put in desmos

15. Nnesha

cool so point where line cross x-axis is x-intercept

16. nincompoop

|dw:1439417584062:dw|

17. nincompoop

|dw:1439417740795:dw|

18. nincompoop

|dw:1439417894065:dw|

19. Barrelracing

do I plug 3,4 and 8 into the equation?

20. Nnesha

you can plug them into the equation to check your answer but you don't have to there are 3 points where line lince cross x-axis so 3, 4 8 = x-intercepts

21. Barrelracing

ok how do I find the y intercept

22. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @Barrelracing y- (0, -96) $$\color{blue}{\text{End of Quote}}$$ y-intercept is correct point where line cross the y-axis

23. Barrelracing

how I find the shape of the graph?

24. Nnesha

look at the first drawing that's the original graph of y=x^3 equation

25. Barrelracing

thank you

26. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @Nnesha for the direction if highest degree is 3 then if leading coefficient is negative ( right end will fall , and left end will rise ) and if leading coefficient is POSITIVE ( right end rise and left end will fall) $$\color{blue}{\text{End of Quote}}$$ for direction one side will rise opposite side will fall

27. Nnesha

my pleasure