210 likes | 368 Views
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:.
E N D
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)
Radical Functions Radicals involve a root operation
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 logarithm The 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 = sin(x) and y = cos(x) Sine Cosine
y = tan(x) y = cot(x)
y = csc(x) y = sec(x)