Exponential Functions Intro

Front

What is an exponential function?

Back

Front

What is exponential growth?

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to a rapid increase over time. An example is population growth.

Front

What is exponential decay?

Back

Exponential decay is the process of reducing an amount by a consistent percentage rate over a period of time. An example is radioactive decay.

Front

What is the basic form of an exponential function?

Back

Front

What is the equation of the horizontal asymptote for exponential functions?

Back

Front

What is half-life in the context of exponential decay?

Back

Half-life is the time required for a quantity to reduce to half its initial value, commonly used in radioactive decay.

Front

How do you identify exponential growth from a graph?

Back

Exponential growth is identified by a curve that rises steeply as 'x' increases, indicating that the function's value increases rapidly.

Front

How do you identify exponential decay from a graph?

Back

Exponential decay is identified by a curve that falls steeply as 'x' increases, indicating that the function's value decreases rapidly.

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, represented by a straight line, while exponential functions have a variable rate of change that increases or decreases rapidly.

Front

What is the significance of the base 'b' in an exponential function?

Back

The base 'b' determines the rate of growth or decay; if b > 1, the function represents growth, and if 0 < b < 1, it represents decay.