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Functions

Linear Functions

Affect on the graph of changing a and c in a Linear function f(x) = ax + c

Quadratic Functions

Affect on the graph of changing the value of a in the function                                      

Affect on the graph of changing the value of c in the

Function  

Affect on the graph of changing the values of a, b and c in the Function  

Affect on the graph of changing the values of ab and c in the function 

Cubic Functions

Video on Transformations

Affect of changing the value of a on the graph of the function 

Affect on the graph of changing the value of c in the

Function 

Affect on the graph of changing the value of c in the

Function  

Affect on the graph of changing the values of a, b, c and d in the function 

Exponential Functions

Affect on the graph of changing the values of a and b in the function 

Affect on the graph of changing the values of a and h in the function 

Affect on the graph of changing the values of a and b in the function 

Logarithmic Functions

Affect on the graph of changing the value of a in the function f(x) = aLog x

Affect on the graph of changing the value of b in the function f(x) = Log (x) + b

Affect on the graph of changing the value of h in the function f(x) = Log (x + h)

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Injective, Surjective, Bijective Functions
Inverse Functions

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Click here for functions related to "filling a vase, cylinder and cone"

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Rational Functions and Asymptotes

Increasing and Decreasing Functions

Click here

Composite Functions

Limits and Continuity

Click here

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Not Required for Leaving Certificate

Even and Odd Functions

The Unit Hyperbola Equation

Derivation of formula for Hyperbolic Trig. Functions

Hyperbolic Function Proof that area is t/2

The Maclaurin and Taylor Series

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