Answer:the minimum value of g(x) on the interval [-2, 3] is -8, and the maximum value of g(x) is 17
Explanation:
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To identify the minimum and maximum values of g(x) on the interval [-2, 3], we need to examine the given table and find the corresponding values of g(x) for each x value within the interval.
From the table:
When x = -2, g(x) = -8
When x = -1, g(x) = -3
When x = 0, g(x) = -4
When x = 1, g(x) = -5
When x = 2, g(x) = 0
When x = 3, g(x) = 17
To find the minimum value, we look for the smallest g(x) value in the given interval. From the table, we see that the minimum value of g(x) is -8.
To find the maximum value, we look for the largest g(x) value in the given interval. From the table, we see that the maximum value of g(x) is 17.
Therefore, the minimum value of g(x) on the interval [-2, 3] is -8, and the maximum value of g(x) is 17.