Applying transformations to graph an exponential function

The video tutorial explains the concept of base E as a constant in exponential functions, emphasizing that it is not a variable. It covers graphing exponential functions using transformations, including shifts and reflections over the X and Y axes. The tutorial also discusses the domain, range, and asymptotes of these graphs, highlighting how shifts affect these properties. The key takeaway is understanding how transformations impact the graph's appearance and behavior.

What is the role of the base 'e' in exponential functions?

• It represents the slope of the graph.

• It is a constant used in exponential functions.

• It is a variable that changes with the function.

• It is the Y-intercept of the graph.

What happens to the graph of an exponential function when a constant is added outside the function?

• The graph shifts left or right.

• The graph shifts up or down.

• The graph reflects over the Y-axis.

• The graph reflects over the X-axis.

How does adding a negative sign inside the function affect the graph?

• It shifts the graph down.

• It shifts the graph up.

• It reflects the graph over the Y-axis.

• It reflects the graph over the X-axis.

What is the Y-intercept of all exponential functions?

• (0, 1)

• (0, 0)

• (1, 0)

• (1, 1)

What is the domain of a typical exponential function?

• 0 to 1

• Negative Infinity to Infinity

• Negative Infinity to 0

• 0 to Infinity

How is the asymptote of an exponential graph affected by a vertical shift?

• It disappears.

• It shifts vertically.

• It remains unchanged.

• It shifts horizontally.

What is the range of an exponential function that has been shifted up by 3 units?

• Negative Infinity to 3

• 3 to Infinity

• 0 to Infinity

• Negative Infinity to 0