Calc Medic AP Precalc Ultimate Justification Guide

f is best modeled by a linear function

Over consecutive equal-length input-value intervals of [number], there is a constant difference in output values of [number]

f is best modeled by a quadratic function

Over consecutive equal-length input-value intervals on [number], there is a constant second difference in output values on [number]

f is best modeled by an exponential function

Input values change additively (in intervals of [number]) as output values change proportionally (in intervals of [number])

f is best modeled by a logarithmic function

Input values change proportionally (in intervals of [number]) as output values change additively (in intervals of [number])

A function f is invertable

Each output value of f is mapped from a unique input value. There are no repeated f(x) values

The estimated output value found by using a known output and the average rate of change is an overestimate

f is concave down

The estimated output value found by using a known output and the average rate of change is an underestimate

f is concave up

f is positive

The graph of f is above the x-axis

f is negative

The graph is below the x-axis

f is increasing

The graph of f has a positive slope

f is decreasing

The graph of f has a negative slope

The rate of change of f is increasing

f is concave up

The rate of change of f is decreasing

f is concave down