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

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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

Mathematics
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y -intercept where line cross y-axiss and x-intercept where line cross x-axis did you graph it on a calculator ?
no
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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Other answers:

alright graph that equation first
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
1 Attachment
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}
hmm
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|
this is parabola http://assets.openstudy.com/updates/attachments/55ace58fe4b0ce10565a87f0-hamza123-1437394782395-canvas.png
so what is the x-intercept
https://www.desmos.com/ use this calculator or replace y by 0 solve for x
|dw:1437395209573:dw|
what is the end behavior
\(\color{blue}{\text{Originally Posted by}}\) @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 \(\color{blue}{\text{End of Quote}}\) ^
\[\huge\rm Ax^3+Bx^2+Cx+D\] A is leading coefficient 3 is highest degree
so 3
what about 3 ?
the end behavior
\(\color{blue}{\text{Originally Posted by}}\) @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 :/........
nope highest degree is 3 what about leading is it negative or positive ?
leading coefficient *
postive
yes so right side will rise and left side will fall
this is the graph http://prntscr.com/7uthm4 of x^3 +15x^2 +68x-96
(3,0) x -int
yep one x-intercept is 3 there are more..
how many times graph is crossing the x-axis or highest degree represent the number of x-intercept
highest degree is 3 so = 3 x-intercept
so what about y-int
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
or \[\huge\rm y =x^3 +15x^2 +68x-96\] or replace x by 0 solve for y
y-int (1,8)
nope when line cross y-axis x equal to 0 so x is 0
i cant find it
replace x by 0 let me know what you get
(0,8 )
how did you get 8 ?
show your work plz
i keep on looking at desoms graph
can tell me what it is
did you graph it on desmos ??
yes
okay hit the zoom out button you will see the point
0,-96
yes
ii just need the end behavior
read the my comments again you will find out
3
nope end behavior meaning define the graph when it's increasing or decreasing it's not gonna be a number
increasing because the leading coefficient is positive
both ends are increasing ?
\(\color{blue}{\text{Originally Posted by}}\) @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
yup your right

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