MTH 219 Wk 2 Discussion – Functions

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 2 videos:

• Khan Academy: “What is a Function”
• Patrick Just Math Tutorials: “The Vertical Line Test”
• Khan Academy: “Worked Example: Evaluating Functions from Equation”
• Khan Academy: “Worked Example: Evaluating Functions from Graph”

Answer the following questions:

• What are the various ways of representing a function?
• What methods can you use to determine whether a relation is a function? Give an example of a relation and determine if it is a function.
• Prompt 2

Watch one of the following Week 2 videos:

• Khan Academy: “Intervals and Interval Notation”
• Khan Academy: “Domain and the Range from Graph”

Answer the following questions:

• Given the graph of a function, how can you determine its domain and range?
• What is an example of a real-world scenario that is a function that has a domain and range?
• What is the domain and range in your example?
• Why is it useful to determine a function’s domain and/or range for the scenario you chose?

Prompt 3

Watch one of the following Week 2 videos:

• Khan Academy: “Intro to Intercepts”
• Khan Academy: “Intro to Slope”

Answer the following question:

• In your own words, describe what the slope and y-intercept of an equation tell you about the line. Give an example in your explanation.

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.