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This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
1. |
Nature of the function f(x) = e2x is _______ |
A. | increasing |
B. | decreasing |
C. | constant |
D. | increasing and decreasing |
Answer» B. decreasing | |
2. |
Find the intervals in which f(x) = x2 + 2x 5 is strictly increasing. |
A. | x>1 |
B. | x<-1 |
C. | x>-1 |
D. | x>2 |
Answer» D. x>2 | |
3. |
Find the intervals in which f(x) = 2x2 3x is increasing. |
A. | (-1/4, ) |
B. | (-3/4, ) |
C. | (1/4, ) |
D. | (3/4, ) |
Answer» E. | |
4. |
Is the function f(x) = 3x+10 is increasing on R? |
A. | True |
B. | False |
Answer» B. False | |
5. |
Find the interval in which function f(x) = sinx+cosx is increasing. |
A. | (5 /4, 2 ) |
B. | [0, /4) and (5 /4, 2 ] |
C. | ( /4, -5 /4) |
D. | (- /4, /4) |
Answer» C. ( /4, -5 /4) | |
6. |
Find the interval in which function f(x) = sinx+cosx, 0 x 2 is decreasing. |
A. | ( /4, 5 /4) |
B. | (- /4, 5 /4) |
C. | ( /4, -5 /4) |
D. | (- /4, /4) |
Answer» B. (- /4, 5 /4) | |
7. |
Find the interval in which function f(x) = x2 4x + 5 is decreasing. |
A. | (2, ) |
B. | (- , 2) |
C. | (3, ) |
D. | (- , ) |
Answer» C. (3, ) | |
8. |
Find the interval in which function f(x) = x2 4x + 5 is increasing. |
A. | (2, ) |
B. | (- , 2) |
C. | (3, ) |
D. | (- , ) |
Answer» B. (- , 2) | |
9. |
What is the nature of function f(x) = x3 3x2 + 4x on R? |
A. | Increasing |
B. | Decreasing |
C. | Constant |
D. | Increasing and Decreasing |
Answer» B. Decreasing | |
10. |
What is the nature of function f(x) = 7x-4 on R? |
A. | Increasing |
B. | Decreasing |
C. | Strictly Increasing |
D. | Increasing and Decreasing |
Answer» D. Increasing and Decreasing | |