1. 
Which of the following statements is true? > A bounded function on a closed interval [a,b] must be continuous.

2. 
Let . For which interval can we use the Boundedness Theorem to conclude that f must be bounded on that interval? > [1,2]

3. 
Which of the following graphs shows a function that is both bounded and discontinuous on [a,b]? > No. This function is not bounded on [a,b].

4. 
A continuous function on a closed interval [a,b] > must be bounded on that interval but need not attain a maximum value on that interval.

5. 
What is the maximum value of f(x) = sin(x) on the interval [π,2π)? > 0

6. 
A continuous function on a closed interval [a,b] > may attain its maximum and minimum value an infinite number of times each.

7. 
Let . For which interval(s) can we use the Extreme Value Theorem to conclude that f must attain a maximum and minimum value on that interval? > neither (a) nor (b)

8. 
If f is continuous on [a,b] and f(b)<M<f(a) then the Intermediate Value Theorem tells us how many values of c exist in (a,b) with f(c) = M.

9. 
Let the function . On which of the following intervals does the IVT guarantee the existence of a value c with f(c) = 0? > (3,0)

10. 
Which of the following pictures best illustrates the IVT? > Picture (d)
