Exploring Key Features of Exponential Functions

What distinguishes a linear function's growth rate from that of an exponential function?

• Linear functions grow by multiplication, while exponential functions grow by addition.

• Exponential functions grow at a constant rate, while linear functions do not.

• Linear functions grow at a constant rate, while exponential functions do not.

• There is no difference in growth rates between linear and exponential functions.

What happens to the value of an exponential function when the exponent is zero?

• It becomes one.

• It becomes zero.

• It doubles.

• It is undefined.

In the function y = a * b^x, what does 'b' represent if it is greater than one?

• Growth rate

• Decay rate

• Y-intercept

• Initial value

What role does the 'a' value play in an exponential function?

• It determines the slope of the graph.

• It represents the growth rate.

• It signifies the y-intercept.

• It has no significant role.

What is the value of an exponential function when 'b' is less than one?

• It indicates decay.

• It indicates growth.

• It remains constant.

• It becomes zero.

What is the shape of the graph representing exponential growth?

• A straight line

• A parabola

• A backwards L shape

• An L shape

How is the y-intercept represented in the equation of an exponential function?

• As the base 'b'

• It is not represented in the equation

• As the exponent

• As the coefficient 'a'

Which of the following is true about the graph of an exponential decay function?

• It decreases over time.

• It remains constant over time.

• It oscillates over time.

• It increases over time.

What does an asymptote represent in the context of exponential functions?

• A line the graph approaches but never touches

• The slope of the exponential function

• The point where the function crosses the y-axis

• The maximum value the function can reach

What does a horizontal asymptote in an exponential function graph indicate?

• A boundary the function approaches but never crosses

• The function's minimum height

• The function's slope

• The function's maximum height