Understanding Growth Rates in Graphs

The video tutorial explains how to interpret the graph of an exponential function, focusing on identifying whether the function represents growth or decay. It highlights that a graph rising sharply indicates growth, which means the growth rate is positive. If the graph were declining, it would indicate a negative growth rate. The tutorial further clarifies that a growth rate less than one suggests decay, while a rate greater than one confirms growth. The key takeaway is that the graph in question shows a positive growth rate greater than one.

What does an upward trend in an exponential graph indicate about the growth rate?

• The growth rate is zero.

• The growth rate is negative.

• The growth rate is less than one.

• The growth rate is positive.

If a graph is going downwards, what can be inferred about the growth rate?

• The growth rate is greater than one.

• The growth rate is negative.

• The growth rate is positive.

• The growth rate is zero.

Which of the following indicates a growth rate greater than one?

• The graph is oscillating.

• The graph is increasing.

• The graph is decreasing.

• The graph is flat.

What does a growth rate less than one typically indicate?

• The graph is decreasing.

• The graph is oscillating.

• The graph is increasing.

• The graph is constant.

If a growth rate is 0.5, what does this imply about the graph?

• The graph is growing.

• The graph is oscillating.

• The graph is decaying.

• The graph is constant.

Which of the following is true for a growth rate greater than one?

• The graph is constant.

• The graph is increasing.

• The graph is decreasing.

• The graph is oscillating.