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Mr. L’s Function Petting ZooPowerPoint Presentation

Mr. L’s Function Petting Zoo

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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 multiplied by some coefficient.

Linear Function multiplied by some coefficient.

Quadratic function: multiplied by some coefficient.

Cubic: multiplied by some coefficient.

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

Quintic: multiplied by some coefficient.

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 multiplied by some coefficient.

Radicals involve a root operation

For real this time… multiplied by some coefficient.

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! multiplied by some coefficient.

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

y = 2x

y = 2 multiplied by some coefficient.x

y = (1/2)x

The logarithm multiplied by some coefficient.

The log-rhythmy = ln(x)

Logarithms are the inverse of power 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 = tan(x) multiplied by some coefficient.

y = cot(x)

y = csc(x) multiplied by some coefficient.

y = sec(x)

El Fin multiplied by some coefficient.

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