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Describe the graph of the function f(x) = x3 − 15x2 + 68x − 96. Include the y-intercept, x-intercepts, and the end behavior

- anonymous

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- Nnesha

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

- anonymous

no

- 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

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## More answers

- Nnesha

alright graph that equation first

- 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

- anonymous

##### 1 Attachment

- 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}

- Nnesha

hmm

- 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|

- Nnesha

this is parabola http://assets.openstudy.com/updates/attachments/55ace58fe4b0ce10565a87f0-hamza123-1437394782395-canvas.png

- anonymous

so what is the x-intercept

- Nnesha

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

- Nnesha

|dw:1437395209573:dw|

- anonymous

what is the end behavior

- 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
\(\color{blue}{\text{End of Quote}}\)
^

- Nnesha

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

- anonymous

so 3

- Nnesha

what about 3 ?

- anonymous

the end behavior

- 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 :/........

- Nnesha

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

- Nnesha

leading coefficient *

- anonymous

postive

- Nnesha

yes so right side will rise and left side will fall

- Nnesha

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

- anonymous

(3,0) x -int

- Nnesha

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

- Nnesha

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

- Nnesha

highest degree is 3 so = 3 x-intercept

- anonymous

so what about y-int

- 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

- Nnesha

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

- anonymous

y-int (1,8)

- Nnesha

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

- anonymous

i cant find it

- Nnesha

replace x by 0 let me know what you get

- anonymous

(0,8 )

- Nnesha

how did you get 8 ?

- Nnesha

show your work plz

- anonymous

i keep on looking at desoms graph

- anonymous

can tell me what it is

- Nnesha

did you graph it on desmos ??

- anonymous

yes

- Nnesha

okay hit the zoom out button you will see the point

- anonymous

0,-96

- Nnesha

yes

- anonymous

ii just need the end behavior

- Nnesha

read the my comments again you will find out

- anonymous

3

- Nnesha

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

- anonymous

increasing because the leading coefficient is positive

- Nnesha

both ends are increasing ?

- 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

- anonymous

yup your right

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