Polynomial functions
Curve sketching
Enter your function here.
Hints: Enter
as 3*x^2 ,
as (x+1)/(x-2x^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 y-axis
point symmetric to the origin
y-axis 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 x-coordinates:
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
.
Analysis
Area between functions
Change of signs
Curve sketching
Derivation
Finding functions
Functions
Inflection points
Integral calculus
Intersection of functions
Intersection with axes
Monotony
Roots
Tangent lines
Turning points
Equations and terms
Binomial formulas
Equations
Fractional equations
Fractional terms
Quadratic equations
Root equations
Root terms
Simplifying terms
Solving equations
Systems of equations
p,q-Formula
Functions
Exponentiation functions
Linear functions
Polynomial functions
Quadratic functions
Transforming functions
Vertex form
Fractions
Adding fractions
Cancelling fractions
Decimal fractions
Fraction calculations
Fractions
Multiplying fractions
Multiples and divisors
Divisibility
GCD calculator
Prime factorization
Set of divisors
lcm
Geometry
Arc of a circle
Area calculation
Circle
Cone
Cube
Cuboid
Cylinder
Intercept theorem
Lines
Prisms
Pyramid
Quadrangle
Rectangle
Rhomb
Rhomboid calculator
Right-angled triangle
Sphere
Square
Trapezoid
Triangle calculator
Trigonometry
Volume
Vector analysis
Cross product
Distance Point Plane
Dot product
Intersection line plane
Line intersection
Line through points
Norming vectors
Plane equations
Plane intersection
Point on line
Point on plane
Quadrangle calculator (vectors)
Transforming plane equations
Vector intersection angle
Vector length
Stochastics
Urn model
Basic arithmetics
Addition
Dividing numbers
Multiplication
Subtraction
Mathematics for everyday
Antiproportionalities
Interest calculation
Number systems
Percentage
Proportionalities
Roman numbers
Rule of three
Units