QQuestionMathematics
QuestionMathematics
determine the range of the following graph
# 12
## 11
## 10
## 9
## 8
## 7
## 6
## 5
## 4
## 3
## 2
## 1
## - 12 - 11 - 10 - 9 - 8 - 7 - 6 - 5 - 4 - 3 2 - 1 1 2 3 4 5 6 7 8 9 10 11 12
## - 2
## - 3
## - 4
## - 5
## - 6
## - 7
## - 8
## - 9
## - 10
## - 11
## - 12
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Answer
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Step 1:I'll solve this step by step, focusing on determining the range of the given graph.
Step 2:: Identify the Range
The range of a function is the set of all possible output (y) values that the function can produce. To determine this, I'll look at the vertical extent of the graph.
Step 3:: Analyze the Vertical Limits
- Do not go above $$y = 11
Looking carefully at the graph, I can see that the function's y-values:
Step 4:: Confirm Continuous Coverage
The graph appears to cover all y-values between $$-8$$ and $$11$$ continuously.
Step 5:: Precise Range Notation
This means the range includes all real numbers from $$-8$$ to $$11$$, inclusive.
In interval notation, this would be written as:
Final Answer
The range of the graph is [- 8, 11].
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