# MTH 219 Wk 5 Discussion – Functions and Variation

PLDZ-11194 In Stock
\$ 3.00 USD
Description

***************************************************************

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

You can buy more tutorials at a more favorable price from the below link.

***************************************************************

---------------------------------------------------------------------------------------------------------------------

## 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”

•  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:

•  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”

•  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”

•  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”