– 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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