4e Example 2 Part 2 (How to Graph the Tangent Function Part 2)

The video tutorial covers the transformation of functions, focusing on rewriting functions, solving for asymptotes, and graphing. It explains how to determine phase shifts, reflections, and periods, and discusses vertical compression and domain. The tutorial emphasizes understanding tangent functions and their differences from sine and cosine functions, with practical graphing examples.

What is the result of factoring out a negative half from the expression -1/2X - π?

• X + 2π

• X - 2π

• -X + π

• -X - π

What is the phase shift when the expression is rewritten as X + 2π?

• 2 units to the left

• 2 units to the right

• 3 units to the right

• 3 units to the left

How do you determine the new asymptote when solving for X in the equation -X/2 = 3π/2?

• X = -π

• X = π

• X = -3π

• X = 3π

What is the period of the function when the period is π divided by 1/2?

• 2π

• π

• 3π

• π/2

What is the effect of a vertical compression on the graph?

• It stretches the graph vertically.

• It compresses the graph horizontally.

• It compresses the graph vertically.

• It stretches the graph horizontally.

What is the new period when the period is π divided by 3?

• 2π

• π

• 3π

• π/3

How does a factor of 1/4 affect the graph?

• It stretches the graph vertically.

• It reflects the graph over the X-axis.

• It compresses the graph vertically.

• It shifts the graph horizontally.

What is the domain of the function when X cannot equal π/6 plus π/3N?

• All real numbers except -π/3 + π/6N

• All real numbers except π/3 + π/6N

• All real numbers except -π/6 + π/3N

• All real numbers except π/6 + π/3N

What happens to the graph when it is shifted π units to the right?

• The graph moves π units to the right.

• The graph remains unchanged.

• The graph reflects over the Y-axis.

• The graph moves π units to the left.

What is the main focus when comparing tangent functions to sine and cosine functions?

• Identifying amplitude differences

• Understanding phase shifts

• Identifying asymptotes

• Understanding frequency changes