All Questions
Tagged with cubics graphing-functions
20
questions
3
votes
2
answers
177
views
How to draw graph of cubic function
I am taking a course in calculus and wanted to refresh my memory before the semester starts. And I have been working on drawing graphs from cubic functions. I am not that experienced with LaTex and ...
- 409
2
votes
3
answers
94
views
Will the perpendicular bisector between the line connecting two cubic roots of the same arc never intersect its turning point?
The quadratic graph: $$ f(x) = (x+2)(x+1)$$
would have a midpoint between its roots at $x = -1.5$. This line would intersect its turning point.
However the cubic graph: $$ f(x) = (x+1)(x-2)(x+3)$$
...
- 51
1
vote
0
answers
61
views
How to find $x$ by $y$ in bezier curve.
I draw the lines connecting the different nodes on the screen with the cubic bezier curve.
These lines must be suitable for interaction. So I need to know how close the user is to the line based on ...
- 111
-3
votes
1
answer
42
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How can I find the equations of these cubic graphs? [closed]
image
How can I find the equations of these cubic graphs as seen in the image above?
- 1
0
votes
0
answers
78
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Two distinct tangents drawn from an external point to a cubic
In this question
Phillip mentions is his answer
The equation $y=x^3+cx$ can have two distinct tangents drawn from an external point only if $c>0$
I tried to prove this:
Let the external point ...
- 2,205
1
vote
1
answer
688
views
How to create a Cubic Hermite Spline interpolation equation?
I am developing a program for which I need to smoothly interpolate between some control points.
Here is an example of what I need. Ie. In this gif, the knob is crossfading between no interpolation at ...
- 381
2
votes
3
answers
62
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condition for a cubic equation to have no roots in an interval
I want to find the possible values of a parameter $a$ such that the equation $2x^3-9x^2+30-a=0$ does not have a root in $(-2,2)$. I am stuck can anyone help
0
votes
0
answers
46
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How to create a cubic spline between the lines x=0 and y=1?
I am trying to create a simple cubic spline from points (0,0) to (m,1) connecting the lines y=1 and x=0.
However, I am having trouble getting the spline to be tangential to the x=0 line at (0,0).
...
- 381
3
votes
1
answer
956
views
How can I create a cubic spline to connect these two line segments?
I am trying to create an audio envelope smoothing curve to smooth a steady signal (y=1) as it goes into exponential decay (y=c^-x).
I have expressed the graphs of the two line segments I am trying to ...
- 381
0
votes
1
answer
1k
views
Find Equation of line to solve a cubic function
A cubic graph for $x^3 + 4x^2 + 2x - 4$ is given.
Question is: Find an equation of the line you would draw on that graph to solve graphically: $x^3 + 4x^2 + 3x - 1 = 0.$
Give the answer in $y = mx + ...
1
vote
2
answers
1k
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What is the value of k if equation $x^3-3x^2+2=k$ has three real roots and if one real root?
I'd like help understanding this question graphically actually. My book finds the derivative of f(x)=$x^3-3x^2+2$ and gets 3x(x-2), thus finding maxima and minima of f(x) as 2 and -2. Then it just ...
- 1,339
1
vote
1
answer
48
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Find the values of a cubical function graph
I'm having some problem with this question,
I could only find the value of [1-5] and [1-7], which is quite easy.
But in the others I'm having some difficulty.
Thanks in advance.
- 11
2
votes
1
answer
4k
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A quick way for graphing cubic functions
Cubic function is $f(x) = ax^3 + bx^2 + cx + d , a\not = 0$ . I'm looking for a general way to plot it quickly . My mean is the plot it just by looking at the coefficients (i.e. $a , b ,c ,d$) . I don'...
- 4,359
0
votes
1
answer
655
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How do I find the equation of a cubic graph which is shaped like two opposite quadratics?
For clarity, I would like to say that the graph in question is "Rising Inflection Graph" as listed here https://mathspace.co/learn/world-of-maths/cubic-functions/find-the-equation-of-a-cubic-function-...
0
votes
1
answer
366
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Question on the concept of symmetry of cubic polynomial's graph
Give the cubic polynomial $ y = ax^3 + bx^2 + cx + d$ which is symmetric about the line $x=k$ then derive a relation between $a,b, c, d$ $and$ $k$.
I have attempted this question and used the fact ...
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