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p,qFormula
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Curve sketching
Enter your function here.
Hints: Enter
as
3*x^2
,
as
(x+1)/(x2x^4)
and
as
3/5.
Find a function
Degree of the function:
1
2
3
4
5
(
The degree is the highest power of an x.
)
Symmetries:
axis symmetric to the yaxis
point symmetric to the origin
yaxis intercept
Roots / Maxima / Minima /Inflection points:
root
Maximum
Minimum
Inflection point
at
x=
root
Maximum
Minimum
Inflection point
at
x=
root
Maximum
Minimum
Inflection point
at
x=
root
Maximum
Minimum
Inflection point
at
x=
root
Maximum
Minimum
Inflection point
at
x=
Characteristic points:
Point
Maximum turning point
Minimum turning point
Saddle point
Inflection point
at

)
Point
Maximum turning point
Minimum turning point
Saddle point
Inflection point
at

)
Point
Maximum turning point
Minimum turning point
Saddle point
Inflection point
at

)
Point
Maximum turning point
Minimum turning point
Saddle point
Inflection point
at
(

)
Point
Maximum turning point
Minimum turning point
Saddle point
Inflection point
at
(

)
Slope at given xcoordinates:
Slope
at
x=
Slope
at
x=
Slope
at
What are polynomial functions?
Polynomial functions are functions consisting of numbers and some power of x, e.g.
, but also
or
or also
.