Not sure how the answers were achieved in this graph

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SUMMARY

The discussion revolves around interpreting a graph to determine the values of a function f(x) at specific points. The user initially misinterpreted the problem, thinking it required finding the domain and range of linear functions. However, the correct approach is to read the function values directly from the graph for the specified x-values, resulting in answers A) 0, B) -1, C) 0, and D) -2. This clarification emphasizes the importance of understanding the distinction between reading values from a graph and determining function characteristics.

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  • Understanding of function notation and evaluation
  • Basic knowledge of graph interpretation
  • Familiarity with linear functions
  • Ability to identify domain and range concepts
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  • Practice reading function values from various types of graphs
  • Review linear function properties and characteristics
  • Explore graphing software tools like Desmos for visualizing functions
  • Study the concept of domain and range in more complex functions
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Students learning algebra, educators teaching graph interpretation, and anyone seeking to improve their understanding of function evaluation from graphical representations.

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Homework Statement


http://i.imgur.com/vqyXW.png




Homework Equations





The Attempt at a Solution



I got the DOmain and Range of the graph, but then it says to do the same for the functions a-d. If you graph them then they are all straight lines so there's really only a domain.

But when I checked at the back of the book, the answers came to be

A)0
B)-1
C)0
D)-2

I'm sure I'm missing something. Any help is appreciated. Thank you.
 
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You are misunderstanding that part of the problem. They are just asking you to use the graph to read off the values of the function f(x) at each of the indicated values of x .
 
Ah, I see. THank you very much.
 

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