Exponential Functions

Front

What is an exponential function?

Back

Front

What does the base of an exponential function represent?

Back

Front

What is the y-intercept of an exponential function?

Back

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

What is the common ratio in an exponential function?

Back

The common ratio in an exponential function is the factor by which the function's value changes as x increases by 1. It is equal to the base (b) of the function.

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change (slope), while exponential functions have a variable rate of change that increases or decreases exponentially.

Front

What is the formula for calculating the amount in an exponential growth scenario?

Back

Front

What does it mean if an exponential function has a negative exponent?

Back

Front

How do you solve for t in an exponential equation?

Back

Front

What is the significance of the initial value in an exponential function?

Back

The initial value (a) in an exponential function represents the starting amount before any growth or decay occurs.