Sketch graph of linear function.

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Homework Help Overview

The discussion revolves around sketching the graph of a linear function defined by the equation y=5. Participants explore the implications of the equation lacking an explicit x variable.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the nature of the function, questioning how to represent it graphically without an x variable. Some suggest creating a table of values to illustrate the relationship, while others express uncertainty about the meaning of x in this context.

Discussion Status

There is an ongoing exploration of the function's characteristics, with some participants providing guidance on plotting points and clarifying that the graph represents a horizontal line at y=5. Multiple interpretations regarding the role of x are being considered.

Contextual Notes

Participants note the absence of an x variable in the equation and discuss its implications for graphing the function. The conversation reflects a mix of understanding and confusion about the representation of linear functions in this specific case.

davie08
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Homework Statement



sketch the graph of the given linear function.
y=5


Homework Equations





The Attempt at a Solution


im unsure of how to do this one without having an x, would x just be undefined and y would be equal to 5.
 
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Make a table of values. For x = 0 y = ? x = 1, y = ? etc. then plot it.
 
LCKurtz said:
Make a table of values. For x = 0 y = ? x = 1, y = ? etc. then plot it.


ya but for this one wouldn't x just be undefined since its not given and then it would just be a horizontal line through y=5.
 
davie08 said:
ya but for this one wouldn't x just be undefined since its not given and then it would just be a horizontal line through y=5.

Yes it is a horizontal line through (0,5). It also passes through (1,5), (2,5), (3,5) etc. Just because x is missing in the equation doesn't mean x is "undefined". It is sort of trivial to list a table of values, but it would include the three points above plus as many others as you want. You could think of it as y = 5 + 0*x, a line with slope 0 and y intercept 5.
 

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