Unit 7 Review – Exponential Functions

Flashcards covering key vocabulary terms related to exponential functions, including definitions and important concepts.

Exponential Function

A function of the form f(x) = ab^x where b is a positive real number.

Linear Function

A function that graphs to a straight line, represented by f(x) = mx + b.

Exponential Growth

Occurs when the base b in the function f(x) = ab^x is greater than 1.

Exponential Decay

Occurs when the base b in the function f(x) = ab^x is between 0 and 1.

Initial Value (I.V.)

The starting amount in an exponential function, typically denoted as a.

Percent Increase

The rate at which a quantity increases, calculated from the initial value.

Percent Decrease

The rate at which a quantity decreases, calculated from the initial value.

Half-life

The time required for a quantity to reduce to half its initial value.

Function Notation

A way to write functions that express the output of a function for a given input.

T-chart

A table used to organize values of a function's input and output to sketch graphs.

Doubling Time

The time required for a quantity to double in size or value.