# Show What You Know diagnostic, Participation Prompt Week 5, Day 3 (Thursday), Participation Prompt Week 5, Day 5 (Saturday),

– Complete MyMathlab Show what you know diagnostic

– Participation Prompt Week 5, Day 3 (Thursday)

Post a 150-word response to the discussion prompts by Day 3 in the discussion area below:

• How did you do on the Show What You Know diagnostic this week?
• What skills have you learned in this class that you can apply to your career or other aspects of your life? What did you learn about yourself as a learner throughout this course?
• What can you do differently in your next math class to help you with your fears regarding math?
• What skills did you learn in this class that you didn’t know before?

– Participation Prompt Week 5, Day 5 (Saturday)

Post a 150-word response to one of the discussion prompts by Day 5 in the discussion area below: (Khan Academy Videos)

Prompt 1

View one of the following Week 5 videos:

Answer the following question:

• What is an example of a real-life situation represented by a piecewise function?
• Explain the various parts of the function.
• How do they relate to the real-life situation?

Prompt 2

View the following Week 5 video:

Answer the following questions:

• Suppose we have the quotient of functions (f/g)(x). Which values of x must be excluded from the domain of (f/g)(x)?
• Why would it be important to check for these values?
• Provide an example with your explanation.

Prompt 3

View one of the following Week 5 videos:

Answer the following:

• Write an equation to represent f(x) and g(x).
• Describe a method you can use to evaluate f(g(2)).
• Would the answer be the same as g(f(2))? Why or why not?

Prompt 4

View one of the following Week 5 videos:

Answer the following questions:

• How do you find the inverse of a function?
• How would you describe the method you can use to construct the inverse of a one-to-one function? Provide an example in your explanation.

Prompt 5

View one of the following Week 5 videos:

Answer the following questions:

• What is a real-life example of direct variation and inverse variation?
• Explain why each example is a direct or inverse variation.