Exploring Exponential Functions

What is the base of the exponential function discussed first in the video?

• 5

• 4

• 3

• 2

What does the graph of y = 3^x represent?

• Exponential growth

• Oscillation

• Linear growth

• Exponential decay

Why does the y-intercept occur at the a value in the graphs discussed?

• It is determined by the a value

• It is a property of all functions

• Because of the x values chosen

• Due to the base of the function

What tool is suggested to verify the graphs plotted on paper?

• MATLAB

• Desmos

• Microsoft Excel

• Google Sheets

What happens to the graph of y = 3^x when plotted in Desmos?

• It becomes a straight line

• It shows exponential growth

• It flattens out near the y-axis

• It shows linear growth

What is the effect of changing the a value to 2 in the function y = 2^x?

• The graph becomes linear

• The graph shifts downwards

• No change in the graph

• The graph shifts upwards

What is the y-intercept of the function y = 2 * 2^x?

• 8

• 2

• 1

• 4

What is the range of the function y = -2 * 2^x?

• y >= 0

• y > 0

• y < 0

• y = 0

How does a negative a value affect the graph of an exponential function?

• It makes the graph linear

• It has no effect

• It shifts the graph to the right

• It inverts the graph below the x-axis

What does the graph of y = -2 * 2^x look like in Desmos?

• Along the x-axis

• Below the y-axis

• Oscillating around the y-axis

• Above the y-axis