6.1 Classwork (Writing Exponential functions)

Front

What is an exponential function?

Back

Front

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

Back

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

Front

Back

The starting term 'a' is 300, which represents the initial value of the function when x = 0.

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 general form of an exponential decay function?

Back

Front

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

Back

Front

How do you convert a table of values into an exponential function?

Back

To convert a table of values into an exponential function, identify the pattern of growth or decay and use two points to determine the values of 'a' and 'b'.

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases multiplicatively.

Front

What does it mean if an exponential function has a base greater than 1?

Back

If an exponential function has a base greater than 1, it indicates that the function is experiencing exponential growth.