MTH 219 Wk 5 Discussion – Functions and Variation | eBooks | Education

MTH 219 Wk 5 Discussion – Functions and Variation

MTH 219 Wk 5 Discussion – Functions and Variation PLDZ-11194
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MTH 219 Wk 5 Discussion – Functions and Variation

Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to other students. 

 

Due Thursday 

Post a response of at least 175 words to one of the discussion prompts:

 Prompt 1

Watch one of the following Week 5 videos:

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

 Answer the following questions:

  •  What is an example of a real-life situation that could be represented by a piecewise function?
  •  Explain the various pieces of the function and how they relate to the real-life situation.

 Prompt 2

Watch the following Week 5 video:

  •  Khan Academy: "Dividing 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

Watch one of the following Week 5 videos:

  •  Patrick Just Math Tutorials: "Composition of Functions"
  •  Khan Academy: “Evaluating Composite Functions: Using Graphs”

 Answer the following questions:

  •  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

Watch 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 Does Not Exist, Ex 2"
  •  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

Watch one of the following Week 5 videos:

  •  Khan Academy: “Intro to Direct and Inverse Variation”
  •  Khan Academy: “Direct Variation Word Problem: Filling Gas"
  •  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.

 Due Monday 

Reply to at least 2 of your classmates. Be constructive and professional in your responses.

 Note: All Khan Academy content is available for free at www.khanacademy.org.

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