Question 1: Find the absolute maximum and minimum values of the following function on the given interval.

$$ f(x)=-x^2+9, \enspace -3\leq x \leq 4 $$

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Question 2: Find the absolute maximum and minimum values of the following function on the given interval. Then graph the function. Identify the points on the graph where the absolute extrema occurs.

$$ f(x)=-\frac{6}{x^2}, \enspace 0.2 \leq x \leq 2 $$

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Question 4: Find the absolute minimum and maximum values of the following function on the given interval. Then graph the function.

$$ g(x)=\sqrt{9-x^2}, \enspace -2 \leq x \leq 3 $$

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Question 5: Find the absolute maximum and minimum values of the following function on the given interval. Then graph the function. Identify the points on the graph where the absolute extrema occur.

$$ f(\theta)=\sin\theta, \enspace \frac{\pi}{2} \leq \theta \leq \frac{7\pi}{4} $$

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