Function Analysis and Rate of Change

Vocabulary flashcards covering key concepts of functions, rate of change, concavity, and algebraic differences based on lecture notes.

Positive

Values that are over the x-axis.

Negative

Values that are below the x-axis.

Rate of Change (ROC)

Just slope, also known as $\frac{y}{x}$.

Point of Inflection

The location where a function changes concavity.

Domain

The set of all possible input values, noted in the transcript as $(-\text{∞}, \text{∞})$.

Secant

A line passing through the circle.

Average Rate of Change (AROC)

Calculated using the formula $\frac{y_2 - y_1}{x_2 - x_1}$ and 9 times out of 10 has to do with time.

Concave down

Describes a graph where the Rate of Change (ROC) is decreasing.

Concave up

Describes a graph where the Rate of Change (ROC) is increasing.

Quadratic

A type of function where the 2nd differences are the same and the AROCs form a linear pattern.

Linear

A type of function where the AROCs are constant.