Mr. L’s Function Petting Zoo

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# Mr. L’s Function Petting Zoo - PowerPoint PPT Presentation

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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### 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.

Special Piecewise Functions

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)

Rational Functions

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

The Simplest being

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

Asymptote - 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!

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

y = 2x

y = 2x

y = (1/2)x

The logarithmThe log-rhythm

y = ln(x)

Logarithms are the inverse of power functions

Trigonometric Functions

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 = tan(x)

y = cot(x)

y = csc(x)

y = sec(x)