Exam 1 - Chapter 1
First name: Last name: Email address: 1. Let f (x) = x + 8, and g(x) = x3. Then f (g(2)) = ? 4 7 8 14 16 2. Find h-1(x). 3. Let W(x) = x2 – 5. Then W(W(1)) = ? 9 10 11 12 None of these For problems # 4 & 5, suppose that g is an even function and f is an odd function. 4. Then H(x) = f(f(f(x))) + (f(x))3 is Even Odd Neither even nor odd 5. Then is Even Odd Neither even nor odd Problems # 6 - 8 refer to the function: 6. –1 0 1 –2 Doesn't exist 7. –1 0 1 –2 Doesn't exist 8. –1 0 1 –2 Doesn't exist 9. 0 p/2 p 1 Infinity 10. Suppose you know that h is an odd function, and that Then –3 3 –5 5 Insufficient information 11. 0 2 3 5 Doesn't exist 12. 0 1 2 3/2 Doesn't exist 13. 0 13/7 –15/7 16/7 Doesn't exist 14. 0 3 3/7 Infinity Doesn't exist 15. 0 3 –3 2 Infinity In problems #16-18. find any points of discontinuity of the functions in problems. Specify whether or not the discontinuity is removable. Use N for "non-removable" and R for "removable". 16. 3, N 3, R 2, N 2, R No discontinuity points 17. p, N p, R –p, N –p, R No discontinuity points 18. 9, N 9, R 12, N 12, R No discontinuity points For problems # 19 and 20, what value of a makes the function continuous at x=1? 19. 0 –1 2 –3 5/2 20. 5 –5 –3 3 3/5
First name: Last name: Email address:
1. Let f (x) = x + 8, and g(x) = x3. Then f (g(2)) = ?
4 7 8 14 16
2. Find h-1(x).
3. Let W(x) = x2 – 5. Then W(W(1)) = ?
9 10 11
12 None of these
For problems # 4 & 5, suppose that g is an even function and f is an odd function.
4. Then H(x) = f(f(f(x))) + (f(x))3 is
Even Odd Neither even nor odd
5. Then is
Problems # 6 - 8 refer to the function:
6. –1 0 1
–2 Doesn't exist
7. –1 0 1
8. –1 0 1
9. 0 p/2 p
1 Infinity
10. Suppose you know that h is an odd function, and that Then
–3 3 –5
5 Insufficient information
11.
0 2 3
5 Doesn't exist
12.
0 1 2
3/2 Doesn't exist
13.
0 13/7 –15/7
16/7 Doesn't exist
14.
0 3 3/7
Infinity Doesn't exist
15.
0 3 –3
2 Infinity
In problems #16-18. find any points of discontinuity of the functions in problems. Specify whether or not the discontinuity is removable. Use N for "non-removable" and R for "removable".
16.
3, N 3, R 2, N
2, R No discontinuity points
17.
p, N p, R –p, N
–p, R No discontinuity points
18.
9, N 9, R 12, N
12, R No discontinuity points
For problems # 19 and 20, what value of a makes the function continuous at x=1?
19.
0 –1 2
–3 5/2
20.
5 –5 –3
3 3/5
© 1998-2003 by Rafael Espericueta all rights are reserved
