What is the domain and range of y=-0.7x+1.9 and y=0.7x+1.9?

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Homework Help Overview

The discussion revolves around determining the domain and range of two linear functions that represent the halves of a triangular roof. The functions in question are y = -0.7x + 1.9 for the left half and y = 0.7x + 1.9 for the right half.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to understand the reasoning behind the stated domain and range values for both halves of the triangle. Questions are raised about the validity of the domain limits and the graphical representation of the functions.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the domain and range. Some guidance has been offered regarding the graphical representation of the functions, suggesting that visualizing the triangle may clarify the domain and range values.

Contextual Notes

There is mention of constraints related to the geometric interpretation of the functions, specifically that the range must reflect the properties of a triangle, where negative values are not applicable.

milliex51
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Homework Statement


State the domain and range of the function that models each half of the roof (triangle)


Homework Equations


Y= -0.7x+1.9 (left half)
Y= 0.7x+1.9 (right half)

The Attempt at a Solution



Why is the answer:

Left half: domain: −2.7≤x≤0 range: 0≤y≤1.9
Right half: Domain: 0≤x≤2.7 range: 0≤y≤1.9

I don't understand.
 
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Haven't you tried graphing this on your calculator?
 
yes I did, and I don't get how for the domain -2.7 is less than or equal to x less than or equal to 0?
 
If it's modelling a triangle, then draw a picture.

You'll see that the maximum value of the range is 1.9 (the intersection of the two lines) and the minimum is 0 (because a side of a triangle can't be negative).

Then solve the equations for y=0 and y=1.9 to get the values of the Domains.
 

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