Find the y intercepts of \[\large y=\frac{3x^3-x}{x^2-4x}\]

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Find the y intercepts of \[\large y=\frac{3x^3-x}{x^2-4x}\]

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

so for the y, intercept, don't you let x = 0 but factor out x 1st \[y = \frac{x(3x^2 - 1)}{x(x - 4)}\]
Am i really allowed to let x = 0 here
3x^2-y(x-4)-1 and putting d>0

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

well if you factor out x you get \[y=\frac{3x^2 -1}{x - 4}\] and to find the y-intercept for any curve... its a case of letting x = 0 so \[y = \frac{3\times0^2 - 1}{0 - 4}\]
don't we need to worry about the fact that x=0 is not part of the domain
x = 0 would be a point of discontinuity the way I read the question and work on the solution. lol... now I see your point...
Haha mother wolfram also says (0, 1/4) is the y intercept http://www.wolframalpha.com/input/?i=y+intercepts+%283x%5E3-x%29%2F%28x%5E2-4x%29
here is my graph of the equation
1 Attachment
It is a point discontinuity, should not be part of the domain
so then the curve doesn't have a y-intercept as its discontinuous at that point
I'm only in high school... so they may do other things at university
Exactly! there should not be any y intercepts for this curve but idk what wolfram is thinking lol
Your graphing calculator is correctly saying (0, 1/4) is a point discont
I'm in Australia and some people, I think from the US seem to not consider a point discontinuity anyway... glad you have a solution
lol this is confusing, I'll just have my teacher explain it to me tomorrow
Yet at the same time wolfram tells us the obvious domain http://www.wolframalpha.com/input/?i=domain+%283x^3-x%29%2F%28x^2-4x%29 Wolfram contradicts itself?
I think after simplifying we can not let \(x=0\) and the graph of the function must be|dw:1434357482874:dw|
then im convinced wolfram is lying about the y intercept
or perhaps some definition of a y intercept somewhere includes the limit?

Not the answer you are looking for?

Search for more explanations.

Ask your own question