Questions: x-intercept(s Extrema: Increasing It End Behavio Discontinuiti

x-intercept(s Extrema: Increasing It End Behavio Discontinuiti
Transcript text: $x$-intercept(s Extrema: Increasing It End Behavio Discontinuiti
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Solution

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Solution Steps

Step 1: Identify the Parent Function

The parent function is the sine function, denoted as \( f(x) = \sin(x) \).

Step 2: Determine the Domain

The domain of the sine function is all real numbers, denoted as \( (-\infty, \infty) \).

Step 3: Find the x-intercepts

The x-intercepts of the sine function occur where \( \sin(x) = 0 \). This happens at \( x = n\pi \) where \( n \) is any integer.

Final Answer

  • Parent Function: \( f(x) = \sin(x) \)
  • Domain: \( (-\infty, \infty) \)
  • x-intercepts: \( x = n\pi \) where \( n \) is any integer
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