Questions: Use the graph of y=f(x) to answer the following.

Use the graph of y=f(x) to answer the following.
Transcript text: Use the graph of $y=f(x)$ to answer the following.
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Solution

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Solution Steps

Step 1: Identify the x-intercepts

The x-intercepts are the points where the graph crosses the x-axis. From the graph, the x-intercepts are at \( x = -3 \) and \( x = 2 \).

Step 2: Identify the y-intercept

The y-intercept is the point where the graph crosses the y-axis. From the graph, the y-intercept is at \( y = -3 \).

Step 3: Determine the local maxima and minima

Local maxima and minima are the highest and lowest points in a particular section of the graph. From the graph:

  • The local maximum is at \( (1, 3) \).
  • The local minimum is at \( (-3, -3) \).

Final Answer

  • X-intercepts: \( x = -3 \) and \( x = 2 \)
  • Y-intercept: \( y = -3 \)
  • Local maximum: \( (1, 3) \)
  • Local minimum: \( (-3, -3) \)
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