# Exam: 250316RR - Introduction to Calculus

Exam: 250316RR - Introduction to Calculus

1. Compute .
A. Doesn't exist
B. -1
C. 6
D. 3

2. Compute .
A.
1
B. 4
C. 6
D. 9

3. Use a table to find
A. 1
B. 2
C. -2
D. -1

4. Which of the following is not a property of limits?

5.
A. 30x
B. 30
C. 30x
D. 10x

6.
A. 2x - 1
B. x
C. 4x - 1
D. x - 1

7. Estimate  from the graph below.

A. 2
B. 2.8
C. 2.5
D. 4.3

8. Compute .

9. Compute .
A. 0.11
B. 0.1
C. 0.01
D. Doesn't exist

10. Where is  discontinuous?
11. Consider the figure shown. What is the value of  ?
A. 4
B. Doesn't exist
C. 3
D. 0

12. Let . Is there a value of a that would make ƒ(x) continuous everywhere?
A. Yes, a = 0.
B. Yes, a = e.
C. Yes, a = 1.
D. No

13. What is the slope of the tangent line to
14. Compute .
A. Doesn't exist
B. 36
C. 1
D. 330

15. The area of a square with side length x is x
What is the instantaneous rate of change in area if x is 5
and increasing?
A. 5
B. 10
C. 20
D. 25

16. Consider the figure shown here. What is the value of ?
A. 0
B. 3
C. Doesn't exist
D. 4

17. Compute .
18. Where is y = lnx discontinuous?
A. Only at zero
B. Only where it's undefined, which is for all
C. Nowhere. It's a smooth curve on its entire domain.
D. Only where it's undefined, which is for all x < 0

19. Which of these is a tangent line to y = -x at x = 4?
A. y = -8x + 16
B. y = -16x + 72
C. y = -16x + 80
D. y = -8x + 80

20. The table shown gives some evidence that which mathematical statement is true?
7 7.9 7.9999 8.001 8.1 9
f(x) -6 -6.2 -6.297 -6.303 -6.37 -7