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Mr. L’s Function Petting Zoo. Polynomials - function involving the sum of variable powers multiplied by some coefficient. Polynomials are classified by degree - the largest variable exponent value in the sum. Constant Function: y = 3. Linear Function. Quadratic function:. Cubic:.

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Polynomials - function involving the sum of variable powers multiplied by some coefficient.

Polynomials are classified by degree - the largest variable exponent value in the sum.


Constant function y 3
Constant Function: y = 3 multiplied by some coefficient.


Linear function
Linear Function multiplied by some coefficient.


Quadratic function
Quadratic function: multiplied by some coefficient.


Cubic
Cubic: multiplied by some coefficient.


Quartic y x 4 5x 2 5
Quartic: y = x multiplied by some coefficient.4 - 5x2 + 5


Quintic
Quintic: multiplied by some coefficient.


Special piecewise functions
Special Piecewise Functions multiplied by some coefficient.

Absolute Value Function

f(x) = |x|

*Makes the value of the number positive

Step/Greatest Integer Function

f(x) = [x]

* Rounds the value to the greatest integer (removes the decimal places)


Radical functions
Radical Functions multiplied by some coefficient.

Radicals involve a root operation


For real this time
For real this time… multiplied by some coefficient.


Rational functions
Rational Functions multiplied by some coefficient.

Rational Functions are formed by the quotient of two polynomial functions.

The Simplest being

Think of the puppies, don’t divide by zero!


Asymptote multiplied by some coefficient. - the imaginary line a function approaches, but does not reach. Rational functions approach an asymptote at input values that would result in a division by zero.


Exponential functions
Exponential Functions! multiplied by some coefficient.

A function such that a base value is raised to a variable power.

y = 2x


Y 2 x
y = 2 multiplied by some coefficient.x

y = (1/2)x


The log rhythm

The logarithm multiplied by some coefficient.

The log-rhythm

y = ln(x)

Logarithms are the inverse of power functions


Trigonometric functions
Trigonometric Functions multiplied by some coefficient.

Coming Soon to a Precaluclus class near you:

f(x) = sin(x)

f(x) = cos(x)

f(x) = tan(x)

f(x) = csc(x)

f(x) = sec(x)

f(x) = cot(x)

Mathematical

Sohcahtoa


Y sin x and y cos x
y = sin(x) and y = cos(x) multiplied by some coefficient.

Sine

Cosine


y = tan(x) multiplied by some coefficient.

y = cot(x)


y = csc(x) multiplied by some coefficient.

y = sec(x)


El fin
El Fin multiplied by some coefficient.


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