Quiz 2: Domain and graph of |x-y²|=1-|x|
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Please answer the following questions based on the implicitly defined function |x-y²|=1-|x| :
Question 1: Which aspect should we consider when finding the domain of the given function?
|x|
|x-y²|
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We need to solve the equation |x-y²|=1-|x|
y²
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Question 2: Which of the following definitions is true?
A
B
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Question 3: Considering the part where x-y²<0, what can we further conclude for the interval(s) of the domain of this given function?
A
B
C
D
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Question 4: Repeat question 3 but now considering the part where x-y²≥0.
A
B
C
D
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Question 5: Which of the following diagram represents the curve |x-y²|=1-|x|?
A
B
C
D
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