HW 5.1 Graphing Exponential Functions

Front

What is an exponential function?

Back

Front

What is the general shape of an exponential growth graph?

Back

The graph of an exponential growth function rises steeply as x increases, starting from a point above the x-axis and approaching the x-axis but never touching it.

Front

What is the general shape of an exponential decay graph?

Back

The graph of an exponential decay function decreases rapidly as x increases, starting from a point above the x-axis and approaching the x-axis but never touching it.

Front

What is the x-intercept of an exponential function?

Back

There is no x-intercept for an exponential function; it never crosses the x-axis.

Front

What does it mean if the base of an exponential function is greater than 1?

Back

If the base is greater than 1, the function represents exponential growth.

Front

What does it mean if the base of an exponential function is between 0 and 1?

Back

If the base is between 0 and 1, the function represents exponential decay.

Front

Back

Front

How do you identify exponential growth from a graph?

Back

Exponential growth is identified by a graph that rises steeply to the right.

Front

How do you identify exponential decay from a graph?

Back

Exponential decay is identified by a graph that falls steeply to the right.

Front

Back

Changing 'a' affects the vertical stretch or compression of the graph; it determines the initial value of the function.