QQuestionMathematics
QuestionMathematics
PLEASE HELP !!
Consider the sequence
1, 3, 5, 7, 9.
Which statement is true?
A) The range is {1, 3, 5, 7, 9}
B) The domain is the set of real numbers from 1 to 5
C) The domain is the set of natural numbers from 0 to 4
D) The range is the set of natural numbers from 1 to 5
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Answer
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Step 1:I'll solve this step by step:
Step 2:: Understand the given sequence
The sequence is $$\{1, 3, 5, 7, 9\}
Step 3:: Analyze the domain
- The domain is the set of input values - These are the positions in the sequence: 0, 1, 2, 3, 4 - This matches option C: the domain is the set of natural numbers from 0 to 4
Step 4:: Analyze the range
- The output values are $$\{1, 3, 5, 7, 9\}
- The range is the set of output values - This does NOT match option A or D exactly
Step 5:: Eliminate incorrect options
- Option A is incorrect because the range is a set of values, not the original sequence - Option B is incorrect because the domain is not real numbers from 1 to 5 - Option D is incorrect because the range includes 7 and 9, not just 1 to 5
Final Answer
C) The domain is the set of natural numbers from 0 to 4
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