MCQOPTIONS
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MCQOPTIONS
This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers 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. |
Find the interval in which function f(x) = sinx+cosx, 0 ≤ x ≤ 2π is decreasing. |
| A. | (π/4, 5π/4) |
| B. | (-π/4, 5π/4) |
| C. | (π/4, -5π/4) |
| D. | (-π/4, π/4) |
| Answer» B. (-π/4, 5π/4) | |
| 5. |
Find the interval in which function f(x) = x2 – 4x + 5 is decreasing. |
| A. | (2, ∞) |
| B. | (-∞, 2) |
| C. | (3, ∞) |
| D. | (-∞, ∞) |
| Answer» C. (3, ∞) | |
| 6. |
Find the interval in which function f(x) = x2 – 4x + 5 is increasing. |
| A. | (2, ∞) |
| B. | (-∞, 2) |
| C. | (3, ∞) |
| D. | (-∞, ∞) |
| Answer» B. (-∞, 2) | |
| 7. |
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 | |