- #1
Niaboc67
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Filling in piecewise function from given graph
- Thread starter Niaboc67
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SUMMARY
The discussion focuses on the challenges of filling in a piecewise function from a given graph. Participants emphasize the importance of understanding the values of y at specific x points, particularly for x ≤ -2 and x ≥ 1. The suggested approach involves using the linear equation format y - y1 = m(x - x1) to derive the function segments. Additionally, it is noted that foundational concepts of functions are often covered in the introductory chapters of calculus textbooks, indicating that the problem may be simpler than perceived.
PREREQUISITES- Understanding of piecewise functions
- Familiarity with linear equations, specifically the slope-intercept form
- Basic knowledge of graph interpretation
- Foundational calculus concepts, particularly functions
- Review the concept of piecewise functions in calculus
- Practice deriving linear equations from given points
- Study graph interpretation techniques for functions
- Explore introductory calculus textbooks for foundational concepts
Students studying calculus, particularly those struggling with piecewise functions and graph interpretation, as well as educators seeking to reinforce foundational concepts in mathematics.
- #2
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Start with x<=-2. What is the value of y at x=-3? What is its value at x=-2. What equation of the form you suggest passes through those two points?Niaboc67 said:
- #3
epenguin
Science Advisor
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Lift your morale by doing the easy parts first. It is pretty clear on the graph what x and f(x) (which maybe you think of as the 'y axis') are meant to be at the points represented by blobs. You can't have any difficulty then in knowing what f(x) is when x ≥ 1 surely?
Edit :I am quite often surprised when students come here asking questions about what is in the first section of Chapter 1 of every book on the subject. This looks like the explanation of what is meant by 'a function' which is typically in that chapter of every book on calculus. 50:1 a very similar example is at the end of that first section in your book.
Edit :I am quite often surprised when students come here asking questions about what is in the first section of Chapter 1 of every book on the subject. This looks like the explanation of what is meant by 'a function' which is typically in that chapter of every book on calculus. 50:1 a very similar example is at the end of that first section in your book.
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