Lesson Funky Functions

Source code of 'Funky Functions'

This Lesson (Funky Functions) was created by by Nate(3500)

These are Examples of Common Functions
Direct Function:
{{{graph( 600, 600, -10, 10, -10, 10, 1.5x ) }}}
Domain: all reals
Range: all reals
Constant Function:
{{{graph( 600, 600, -10, 10, -10, 10, 2 ) }}}
Domain: all reals
Range: f(x) = 2
Inverse Function: f(x) = 1/x
{{{graph( 600, 600, -10, 10, -10, 10, 1/x ) }}}
Domain: x > 0 and 0 > x <====(0)====> Not Equal To Zero 
Range: y > 0 and 0 > y <====(0)====} Not Equal To Zero
Rational Function: f(x) = (x - 1)/(x + 1)
{{{graph( 600, 600, -10, 10, -10, 10, (x - 1)/(x + 1) ) }}}
Domain: x > -1 and -1 > x <====(-1)====> Not Equal To Negative One
Range: y > 1 and 1 > y <====(1)====> Not Equal To One
Trig Function:
{{{graph( 600, 600, -10, 10, -10, 10, sin(x), 3*cos(x), sin(x)/cos(x) ) }}}
f(x) = sin(x)
Domain: all reals
Range: {{{1 >= x >= -1}}}
f(x) = 3cos(x)
Domain: all reals
Range: {{{3 >= x >= -3}}}
f(x) = tan(x)
Domain: all reals excluding: +-{{{pi}}}/2 + {{{pi}}}k .... where 'k' is any integer
Range: all reals
Quadratic Function:
{{{graph( 600, 600, -10, 10, -10, 10, x^2 - 10 ) }}}
Domain: all reals
Range: {{{y >= -10}}}
Cubic Function:
{{{graph( 600, 600, -10, 10, -10, 10, x^3 - x^2 + 2 ) }}}
Domain: all reals
Range: all reals
Quartic Function:
{{{graph( 600, 600, -10, 10, -10, 10, x^4 - 4x^2 + 1 ) }}}
Domain: all reals
Range: {{{y >= -3}}}
Quintic Function:
{{{graph( 600, 600, -10, 10, -12, 12, (x + 3)(x - 2)(x + 1)(x + 2)(x - 1) ) }}}
Domain: all reals
Range: all reals
*Just for Fun*
ABSOLUTE VALUED GRAPHS
f(x) = |x^2 - 10|
{{{graph( 600, 600, -10, 10, -10, 10, sqrt((x^2 - 10)^2) ) }}}
f(x) = |tan(x)|
{{{graph( 600, 600, -10, 10, -10, 10, sqrt((sin(x)/cos(x))^2) ) }}}
f(x) = |sin(x)|
{{{graph( 600, 600, -10, 10, -10, 10, sqrt((sin(x))^2) ) }}}
f(x) = |(x + 3)(x - 2)(x + 1)(x + 2)(x - 1)|
{{{graph( 600, 600, -10, 10, -12, 12, sqrt(((x + 3)(x - 2)(x + 1)(x + 2)(x - 1))^2) ) }}}
f(x) = |sin(x) + x|
{{{graph( 600, 600, -10, 10, -10, 10, sqrt((sin(x) + x)^2) ) }}}