Questions: Question #2(a): Does the function obtain a minimum value on the interval [1,7]? That is, is there a lowest point on the graph over the interval [1,7]? No Yes Question #2(b): Does the function obtain a maximum value on the interval [1,7]? That is, is there a highest point on the graph over the interval [1,7]?

Question #2(a): Does the function obtain a minimum value on the interval [1,7]? That is, is there a lowest point on the graph over the interval [1,7]?
No
Yes

Question #2(b): Does the function obtain a maximum value on the interval [1,7]? That is, is there a highest point on the graph over the interval [1,7]?
Transcript text: Question #2(a): Does the function obtain a minimum value on the interval $[1,7]$ ? That is, is there a lowest point on the graph over the interval $[1,7]$ ? No Yes Question #2(b): Does the function obtain a maximum value on the interval $[1,7]$ ? That is, is there a highest point on the graph over the interval $[1,7]$ ?
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Solution

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Solution Steps

Step 1: Identify the Interval

The interval given is [1, 7]. We need to examine the function within this range.

Step 2: Determine the Minimum Value

Look for the lowest point on the graph within the interval [1, 7]. The lowest point is at (5, 2).

Step 3: Determine the Maximum Value

Look for the highest point on the graph within the interval [1, 7]. The highest point is at (3, 7).

Final Answer

  • Minimum Value: Yes, the function obtains a minimum value of 2 at x = 5.
  • Maximum Value: Yes, the function obtains a maximum value of 7 at x = 3.
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