Rates of Change and Average Rate of Change

These flashcards cover key terms and concepts related to rates of change, average rate of change, and function evaluation based on the lecture notes provided.

Rate of Change

Describes how an output quantity changes relative to the input quantity.

Average Rate of Change

Calculated as the Change in Output divided by the Change in Input.

Average Rate of Change Formula

Average Rate of Change = (f(b) - f(a)) / (b - a) where [a, b] is the interval.

Living Wage Jobs

Jobs that provide a wage sufficient to maintain a normal standard of living.

Function Evaluation

The process of finding the output of a function for a specific input.

Interval

A range of values over which a function is evaluated.

Graph Interpretation

Analyzing a graph to determine key values, such as function outputs.

Height Function

A model for the height of an object over time, often used in physics problems.

Output Units per Input

The units used to express a rate of change, indicating how much output changes for a unit change in input.

Average Rate of Change in Living Wage Jobs

The calculated change in the number of living wage jobs over a specified time period.

Function f(x)=√x

A mathematical function that describes the square root of x.

Job Output Over Time

The measurement of employment levels across different years.