Template:Infobox mathematical function

Template documentation[view] [edit] [history] [purge]

This template uses Lua:

name
[[Image:{{{image}}}\|220px]]
Parity	parity
Domain	domain
Codomain	codomain
Period	period
At zero	zero
Value at +∞	plusinf
Value at -∞	minusinf
Maxima	max
Minima	min
Value at vr1	f1
Value at vr2	f2
Value at [...]	[...]
Value at vr5	f5
Asymptote	asymptote
Root	root
Critical point	critical
Inflection point	inflection
Fixed point	fixed
notes

Blank syntax

{{Infobox mathematical function
| name = 
| image= |imagesize= <!--(default 220px)--> |imagealt=

| parity= |domain= |codomain= |range= |period=

| zero= |plusinf= |minusinf= |max= |min=
| vr1= |f1= |vr2= |f2= |vr3= |f3= |vr4= |f4= |vr5= |f5=

| asymptote= |root= |critical= |inflection= |fixed=

| notes = 
}}

Parameters

Pairs VR1-f1, f1-VR2, etc. are used for labeling specific value functions. Suppose a function at the point e has a value of 2e and that this point is because of something specific. In this case you should put that as VR1 = eand f1 = 2e. For the next point is used a couple of VR2-f2, etc. If you run out of points (five currently available), ask for more.
Variables heading1, heading2, heading3 define whether some of the headlines basic properties, specific values, etc. be displayed. If you do not want a title to be displayed, simply delete the variable from the template. Set the value of the variable to 0 or anything will not prevent the display title.
Variables plusinf and minusinf indicate the value function at + ∞ and - ∞.
root is the x-intercept, critical is the critical point(s), inflection is inflection point(s)
fixed is fixed point(s)

Example

The code below produces the box opposite:

Sine

Parity	odd
Domain	(−∞, +∞) ^a
Period	2 $π$
At zero	0
Maxima	(2k $π$ + ⁠ $π$ /2⁠, 1)^b
Minima	(2k $π$ − ⁠ $π$ /2⁠, −1)
Root	k $π$
Critical point	k $π$ + ⁠ $π$ /2⁠
Inflection point	k $π$
Fixed point	0
^a For real numbers. ^b Variable k is an integer.

Gamma

Parity	Not even and not odd
Domain	$\mathbb {C}$
Period	No
Maxima	No
Minima	No
Value at $ℤ +$	$(n-1)!$
Value at $ℤ 0-$	Not defined
Root	No
Critical point	$\supseteq$ ℤ^0-
Inflection point	$\supseteq$ ℤ^0-
Fixed point	$\supseteq$ 1

{{Infobox mathematical function
| name = Sine
| image = Sinus.svg
| parity=odd |domain=(-∞,∞) |range=[-1,1] |period=2π
| zero=0 |plusinf= |minusinf= |max=((2k+½)π,1) |min=((2k-½)π,-1)
| asymptote= |root=kπ |critical=kπ-π/2 |inflection=kπ |fixed=0
| notes = Variable k is an [[integer]].
}}

Tracking category

Category:Pages using infobox mathematical function with unknown parameters (0)

Blank syntax

Parameters

Example

Tracking category

See also