Learn how to graph and describe characteristics of a natural logarithm

The video tutorial explains how to graph natural logarithms, focusing on transformations and reflections. It covers the effects of changing the base, shifting the graph, and reflecting it about the X-axis. The tutorial also analyzes the graph's domain, range, continuity, and asymptotes, providing a comprehensive understanding of graph behavior and properties.

What is the effect of the base on the graph of a natural logarithm?

• It reflects the graph over the Y-axis.

• It shifts the graph vertically.

• It changes the X-intercept.

• It affects the sharpness of the graph.

After shifting the graph to the right by one unit, what is the new X-intercept?

• (1, 0)

• (0, 1)

• (2, 0)

• (0, 2)

What happens to the graph when it is reflected about the X-axis?

• It stretches vertically.

• It rotates 90 degrees.

• It becomes a mirror image across the X-axis.

• It shifts to the left.

What is the domain of the transformed graph?

• X < 1

• X > 1

• X = 1

• All real numbers

As X approaches infinity, what does F of X approach?

• One

• Zero

• Negative infinity

• Positive infinity