CALC MEDIC AP PRECALC ULTIMATE JSUTIFICATION GUIDE

F is best modeled by a linear function

Over consecutive equal-length input value intervals of size X, there is a constant difference in the output values of Y.

F is best modeled by a quadratic function

Over consecutive equal-length input-value intervals of size X, there is a constant second in the difference in output values by Y.

F is best modeled by an exponential function

Input values change additively (in intervals of size X) as output values change proportionally (by a factor of size Y).

F is best modeled by a logarithmic function

Input values change proportionally (by a factor of X) as output values change additively (in intervals of size Y).

A function F is invertible

Each output value of F is mapped from a unique input value. There are no repeat F(X) values.

Vertical Asympmtote

Zero of denominator and not numerator OR denominator multiplicity is greater than numerator

X intercept

X=A in the numerator and not the denominator

A model is considered appropriate for a data set

The residual plot for the model appears without pattern

The distance between a point on the graph of R=f(THETA) and origin is increasing

|r| is increasing

The distance between a point on the graph of r=f(THETA) and the origin is decreasing

|r| is decreasing