Exam 4

Direct and Inverse Variation

Variation Functions and Applications

Piecewise Functions

Line Jumps usually and can change rapidly

Regression and Function Fitting

Data Trends

When K is close to 1, the stronger it is. If k is positive it has a positive correlation, but if negative then a negative correlation. The closer K is to zero means a weaker correlation.

Application and Regression Modeling

Linear Regression

Quadratic Regression

Exponential Regression

Logarithmic Regression

Factoring Polynomials of Degree 3

Factoring Cubics

Rules depending on how the cubic function is

Polynomial and Power Functions

End Behavior

Depends on Sign and Power of the Function

Multiplicity

Determines how the line interacts with the zeros of the function

Polynomial Division and Rational Zeros Theorem

Long Division

Slow but Precise

Synthetic Division

Faster but leaves more room for error if not careful

R.Z.T

Uses Synthetic to see real zeros

Applications of Polynomial Functions

Can be applied in real world situations