The parent sine function intersects the x-axis at , where k is any __________ number.
Answer & Analysis
Analysis
Question Analysis
This question involves identifying the x-intercepts (where the function crosses the x-axis) of the parent sine function. The main focus is on recognizing the pattern of x-values where , with no transformations.
Key Concept Explanation
An x-intercept of a function occurs where . For , at specific x-values: (positive x-values) and (negative x-values).
Step-by-step Solution
1. Recall when (x-intercept condition): For the parent function,
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