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