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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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Presentation Transcript
slide2
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
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)

radical functions
Radical Functions

Radicals involve a root operation

rational functions
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!

slide13
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
Exponential Functions!

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

y = 2x

y 2 x
y = 2x

y = (1/2)x

the log rhythm
The logarithmThe log-rhythm

y = ln(x)

Logarithms are the inverse of power functions

trigonometric 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

slide19
y = tan(x)

y = cot(x)

slide20
y = csc(x)

y = sec(x)

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