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

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SUMMARY

The discussion focuses on understanding domain and range functions in Algebra 2, specifically addressing the correct identification of y-intercepts and x-intercepts on a graph. The y-intercept is confirmed as (0, -3) and the x-intercepts as (-3, 0) and (1, 0). Participants emphasize the importance of attention to detail and suggest reviewing foundational Algebra 1 concepts before progressing to Algebra 2. The conversation highlights common misconceptions regarding minimum y-values and the interpretation of graph portions.

PREREQUISITES
  • Understanding of Algebra 2 domain and range functions
  • Familiarity with graphing techniques in Algebra 1
  • Knowledge of intercepts in coordinate geometry
  • Ability to analyze graphical representations of functions
NEXT STEPS
  • Watch instructional videos on domain and range functions in Algebra 2
  • Review foundational concepts in Algebra 1 related to graphing
  • Practice identifying y-intercepts and x-intercepts on various graphs
  • Learn about the implications of graph portions on domain assumptions
USEFUL FOR

Students transitioning from Algebra 1 to Algebra 2, educators teaching algebra concepts, and anyone seeking to improve their understanding of graphing functions and their properties.

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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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