Extra Practice: Function Evaluation and Exponential Growth/Decay

These flashcards cover concepts related to evaluating functions, identifying exponential growth and decay, graphical representations, and the components of exponential functions.

Exponential Growth

A function where the value increases rapidly as the independent variable increases, typically represented by forms like y = ab^x with b > 1.

Exponential Decay

A function where the value decreases rapidly as the independent variable increases, typically represented by forms like y = ab^x with 0 < b < 1.

Graph of Exponential Function

The graph of an exponential function generally shows a curve that either rises steeply (growth) or falls steeply (decay) as the value of x changes.

Function Representation

A mathematical statement that describes a relationship between dependent and independent variables, often in the form of an equation.

Evaluating Expressions

The process of calculating the value of an expression based on given variables.

Parameter 'a' in Exponential Functions

In the exponential function y = ab^x, 'a' represents the initial amount or the value of y when x = 0.

Parameter 'b' in Exponential Functions

In the exponential function y = ab^x, 'b' is the growth/decay factor. If b > 1, it indicates growth; if 0 < b < 1, it indicates decay.

Exponential Function Example

An example of an exponential function is y = 54,000(0.80)^t, where t represents time in years.