Lesson Funky Functions

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This Lesson (Funky Functions) was created by by Nate(3500) About Me : View Source, Show
About Nate:

These are Examples of Common Functions
Direct Function:
graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+1.5x+%29+
Domain: all reals
Range: all reals
Constant Function:
graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2+%29+
Domain: all reals
Range: f(x) = 2
Inverse Function: f(x) = 1/x
graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+1%2Fx+%29+
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%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28x+-+1%29%2F%28x+%2B+1%29+%29+
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%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sin%28x%29%2C+3%2Acos%28x%29%2C+sin%28x%29%2Fcos%28x%29+%29+
f(x) = sin(x)
Domain: all reals
Range: 1+%3E=+x+%3E=+-1
f(x) = 3cos(x)
Domain: all reals
Range: 3+%3E=+x+%3E=+-3
f(x) = tan(x)
Domain: all reals excluding: +-pi/2 + pik .... where 'k' is any integer
Range: all reals
Quadratic Function:
graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2+-+10+%29+
Domain: all reals
Range: y+%3E=+-10
Cubic Function:
graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3+-+x%5E2+%2B+2+%29+
Domain: all reals
Range: all reals
Quartic Function:
graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E4+-+4x%5E2+%2B+1+%29+
Domain: all reals
Range: y+%3E=+-3
Quintic Function:
graph%28+600%2C+600%2C+-10%2C+10%2C+-12%2C+12%2C+%28x+%2B+3%29%28x+-+2%29%28x+%2B+1%29%28x+%2B+2%29%28x+-+1%29+%29+
Domain: all reals
Range: all reals
*Just for Fun*
ABSOLUTE VALUED GRAPHS
f(x) = |x^2 - 10|
graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28%28x%5E2+-+10%29%5E2%29+%29+
f(x) = |tan(x)|
graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28%28sin%28x%29%2Fcos%28x%29%29%5E2%29+%29+
f(x) = |sin(x)|
graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28%28sin%28x%29%29%5E2%29+%29+
f(x) = |(x + 3)(x - 2)(x + 1)(x + 2)(x - 1)|
graph%28+600%2C+600%2C+-10%2C+10%2C+-12%2C+12%2C+sqrt%28%28%28x+%2B+3%29%28x+-+2%29%28x+%2B+1%29%28x+%2B+2%29%28x+-+1%29%29%5E2%29+%29+
f(x) = |sin(x) + x|
graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28%28sin%28x%29+%2B+x%29%5E2%29+%29+

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