Exponential Regression

Front

What is an exponential function?

Back

Front

What does the base 'b' in an exponential function indicate?

Back

The base 'b' indicates the growth or decay factor. If b > 1, the function represents exponential growth; if 0 < b < 1, it represents exponential decay.

Front

What is the general form of an exponential growth function?

Back

Front

What is the general form of an exponential decay function?

Back

Front

Back

The 'a' represents the y-intercept or the initial value of the function when x = 0.

Front

What is a horizontal asymptote in the context of exponential functions?

Back

A horizontal asymptote is a horizontal line that the graph of the function approaches as x approaches positive or negative infinity.

Front

Back

The horizontal asymptote is y = 0.

Front

How can you identify exponential growth from a graph?

Back

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

Front

How can you identify exponential decay from a graph?

Back

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

Front

What is the significance of the y-intercept in an exponential function?

Back

The y-intercept indicates the initial value of the quantity being modeled at x = 0.