Graphing a natural logarithmic equation using reflection

The video tutorial covers the concept of logarithms, focusing on the natural logarithm (Ln) and its relationship with base E. It explains how to convert logarithmic expressions to exponential form and discusses graphing techniques, including transformations and reflections. The tutorial also covers the use of a table of values for graphing and explores the domain, range, and asymptotes of logarithmic functions.

What is the base of the natural logarithm (Ln)?

• 10

• 2

• e

• 1

What transformation occurs when a negative sign is inside the logarithmic function?

• Translation down

• Translation up

• Reflection over the Y-axis

• Reflection over the X-axis

What is the effect of reflecting a graph over the Y-axis?

• It flips the graph horizontally

• It shifts the graph down

• It flips the graph vertically

• It shifts the graph up

Why is it useful to convert a logarithmic equation to exponential form when graphing?

• It eliminates the need for a graph

• It changes the base of the logarithm

• It simplifies the calculation of values

• It makes it easier to find the domain

What is the domain of the function G(x) = Ln(-x)?

• x > 0

• All real numbers

• x = 0

• x < 0

What is the range of the function G(x) = Ln(-x)?

• y > 0

• y < 0

• All real numbers

• y = 0

Where is the asymptote of the function G(x) = Ln(-x) located?

• y = 1

• x = 0

• y = 0

• x = 1