# List of functions used for epsilon-delta analysis.
# An item in this list will be picked randomly at each exercise.
# Structure of item: multi-line.
# line 1 is function description for html (TeX?).
# line 2 is function description for wims.
# line 3 is function description for javascript.
# line 4 is an interval in which f is monotonous.
#  (|f(left border)-f(right border)| must be at least 3.)
# The rest is values for parameters a1, a2, etc.
# Different items are separated by lines starting with `:'.

:x<sup>3</sup> + $(a1)x + $a2
 ($x)^3+$a1*($x)+$a2
 pow($x,3)+$a1*($x)+$a2
 -5 5
 2 3 4 5
 1 3 4 6 7 10
:$(a2)x<sup>2</sup>/(x + $a1)
 $a2*$x^2/($x^2+$a1)
 $a2*pow($x,2)/(pow($x,2)+$a1)
 1 10
 1 2 3
 2 3 4
:$(a1)sin(x/$a2)
 $a1*sin($x/($a2))
 $a1*sin($x/($a2))
 -$a2 $a2
 4 5 6 7 8
 4 5 7 10
:$(a1)cos(x/$a2)$a3
 $a1*cos($x/($a2))$a3
 $a1*cos($x/($a2))$a3
 1 2*$a2
 4 5 6 7 8
 4 5 7 10
 -3.1 +1.2 -0.7 +2.6
:$(a1)e<sup>$(a2)x-$a3</sup>
 $a1*exp($a2*$x-$a3)
 $a1*exp($a2*$x-$a3)
 -3+$a3/$a2 3+$a3/$a2
 2 3 5
 2 3
 1 2 3 4 5 6 7
:$(a1)arctan(x$a3)$a2
 $a1*atan($x$a3)$a2
 $a1*atan($x$a3)$a2
 -20$a3 20$a3
 -0.7 -0.9 0.8 -1.1 1.2 1.4 -1.5
 -5 -2 -1 +1 +3 +6
 -7.1 -3.5 +1.2 +5.4 +8.9 -4 +3
:x<sup>3</sup>+$(a1)x<sup>2</sup>+$(a2)x
 $x^3+$a1*$x^2+$a2*$x
 pow($x,3)+$a1*pow($x,2)+$a2*$x
 0 5
 2 3 4 5
 1.2 1.9 2.5 3.4 4.1 4.9 5.3
:$(a1)x<sup>2</sup>+$a2/x
 $a1*($x)^2+$a2/($x)
 $a1*pow($x,2)+$a2/($x)
 -5 -0.5
 2 3 5
 1 2 4 6 7
:$(a1)x-$(a2)/x
 $a1*$x-$a2/$x
 $a1*$x-$a2/$x
 0.5 3
 2 3 5
 1 2 4 6 7
