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.

 

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