# 10 multiple choice and 5 short answer calculus questions

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1.

Use your graphing calculator to evaluate . (5 points)

2.

Describe the discontinuity for the function . (5 points)

3.

Find . (5 points)

4.

Evaluate . (5 points)

5.

Evaluate . (5 points)

6.

Which of the following is the graph of which function has y = -3 as an asymptote? (5 points)

7.

If is continuous at x = -4, find f(-4). (5 points)

8.

Where is discontinuous? (5 points)

9.

If f(x) is discontinuous, determine the reason.

(5 points)

10.

If f(x) is a continuous function defined for all real numbers, f(-10) = -2, f(-8) = 5, and f(x) = 0 for one and only one value of x, then which of the following could be that x value? (5 points)

1.

Use the graph below to list the x value(s) where the limits as x approaches from the left and right of those integer values(s) are not equal.

(10 points)

2.

Find . You must show your work or explain your work in words. (10 points)

3.

Find . You must show your work or explain your work in words. (10 points)

4.

A ball’s position, in meters, as it travels every second is represented by the position function s(t) = 4.9t^{2} + 350.

What is the velocity of the ball after 2 seconds?

Include units in your answer. (10 points)

5.

The cost in dollars of producing x units of a particular telephone is C(x) = x^{2} – 2500. (10 points)

a. Find the average rate of change of C with respect to x when the production level is changed from x = 100 to x = 103. Include units in your answer.

b. Find the instantaneous rate of change of C with respect to x when x = 100. Include units in your answer.

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