# 10 multiple choice and 5 short answer calculus questions

1.

Use your graphing calculator to evaluate . (5 points)

 0 e π 1

2.

Describe the discontinuity for the function . (5 points)

 There is a hole at x = -25. There is a removable discontinuity at x = 5. There is a vertical asymptote at x = 5. There is no discontinuity at x = 5.

3.

Find . (5 points)  Does not exist 0

4.

Evaluate . (5 points)

 ∞ -∞ 0 -8

5.

Evaluate . (5 points)

 -2 0 -∞

6.

Which of the following is the graph of which function has y = -3 as an asymptote? (5 points) y = 3ln(x + 1)  7.

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

 4 -4 8 -8

8.

Where is discontinuous? (5 points)

 f(x) is continuous everywhere x = 3 and x = -5 x = -5 x = 3

9.

If f(x) is discontinuous, determine the reason. (5 points)

 f(x) is continuous for all real numbers The limit as x approaches 1 does not exist f(1) does not equal the limit as x approaches 1 f(1) is not defined

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)

 -7 -9 0 2

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) = 4.9t2 + 350.

What is the velocity of the ball after 2 seconds?