Can someone help me figure out what to mark off on this graph?

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Discussion Overview

The discussion revolves around identifying and marking off elements related to the domain and range of a graph, specifically within the context of Algebra 2. Participants are exploring concepts of y-intercepts, x-intercepts, and the implications of partial graph representations on domain and range determinations.

Discussion Character

  • Homework-related
  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant seeks assistance in determining what to mark off on a graph related to domain and range functions.
  • Another participant questions the validity of having a range that includes all y-values while also stating a minimum y-value of -4.
  • A participant asserts that the minimum value of a function is the lowest y-value on the graph and indicates that the range choice is incorrect.
  • There is a discussion about the y-intercept, with one participant stating it as (0, -3) and another later confirming this choice.
  • Participants identify the x-intercepts as (-3, 0) and (1, 0), with some expressing concern over the accuracy of earlier statements.
  • A participant expresses discomfort with stating "the domain is all x-values" based on a partial graph, suggesting that the domain should be defined more restrictively as $-4.2 \le x \le 2.2$ if the graph represents the entire function.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct interpretation of the domain and range, with multiple competing views presented regarding the implications of the graph's representation and the correctness of specific values identified.

Contextual Notes

There are limitations regarding the assumptions made about the graph's completeness, as well as the potential for misinterpretation of intercepts and values based on partial information.

a723w6
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Can someone help me figure out what to mark off on this graph? I am a beginner in Algebra 2 domain and range functions.

Functions.png
 
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what are your choices for statements that are true?

recommend watching this video if you don’t have a clue ...

 
Last edited by a moderator:
I picked these as my initial choices, but I don't know if they're right.

Functions 1.png
 
how can the range be all y-values and y > -4 at the same time?

you also say there is no minimum y-value, yet you also say the minimum is -4. ?

watch the video.
 
Now I have this.

Functions 2.png
 
the minimum value of a function is the lowest y-value on the graph.

your choice for the range is still incorrect.

what is the graph’s y-intercept?
 
I changed my answer. It looks like the graph's y-intercept is (0, -3).

Functions 3.png
 
ok ...

what are the x-intercepts?
 
The x - intercepts are (-3, 0) and (1, 0).
 
  • #10
ok

you really need more algebra 1 review of graphing before tackling algebra 2 topics

recommend you do some research, view videos, etc.

good luck
 
  • #11
Wait, what exactly did I say wrong?
 
  • #12
I have this now.

Function 4.png
 
  • #14
a723w6 said:
Wait, what exactly did I say wrong?

nothing srong, I’m just concerned that you had to be led through a series of questions to make the correct choices

the y-intercept is (0,-3), not (-3,0) ... you stated it correctly in post #7, but you checked (-3,0) in post #12.

attention to detail, get my drift?
 
  • #15
So all of my answers were correct in post #7?
 
  • #16
I am a little bit uncomfortable with saying "the domain is all x-values" when we are shown only a portion of the graph. We can assume that the graph continues in the same way way but we can't be certain just by looking at that graph. IF this graph shows the entire function THEN the domain is $-4.2\le x\le 2.2$.
 

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