Summary for graphing the cotangent and tangent functions

The video tutorial covers graphing tangent and cotangent functions, focusing on transformations, tips, and common mistakes. It emphasizes understanding parent graphs, transformations, and the importance of knowing asymptotes and intercepts. The tutorial also highlights common errors like phase shifts and provides strategies to avoid them.

What is the first step in graphing tangent and cotangent functions?

• Identify the parent graph

• Find the asymptotes

• Determine the amplitude

• Calculate the period

Which of the following is NOT a characteristic of tangent and cotangent functions?

• They have intercepts

• They have asymptotes

• Their period is π

• They have an amplitude

What is a common mistake students make when graphing tangent and cotangent functions?

• Forgetting the period is π

• Ignoring the phase shift

• Mixing up asymptotes and intercepts

• Using the wrong parent graph

How should you solve for the phase shift in a tangent function?

• Set the amplitude to zero

• Set the period to 2π

• Set the inside of the parentheses to zero

• Set the coefficient of X to zero

What should you check to ensure your graph of tangent or cotangent is correct?

• The amplitude values

• The intercepts and asymptotes

• The maximum and minimum points

• The phase shift direction