# 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:

- Patrick Just Math Tutorials:”Evaluating Piecewise Defined Functions“
- Patrick Just Math Tutorials:”Piecewise Functions: Find the Formula from a Graph – Ex 2“
- Patrick Just Math Tutorials:”Piecewise Functions: Find the Formula form a Graph – Ex 1“
- Patrick Just Math Tutorials:”Piecewise Defined Functions: Graphing“

**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:

- Khan Academy: “Quotient of Functions“

**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:

- Patrick Just Math Tutorials: “Composition of Functions“
- Khan Academy: “Evaluating Composite Functions: Using Graphs“

**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:

- Patrick Just Math Tutorials: “Inverse Functions – The Basics!“
- Patrick Just Math Tutorials: “Finding the Inverse of a Function or Showing One“
- Khan Academy: “Graphing the Inverse of a Linear Function“

**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:

- Khan Academy: “Intro to Direct and Inverse Variation“
- Khan Academy: “Direct Variation 1“
- Khan Academy: “Inverse Variation Word Problem: String Vibration“

**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.