Increasing and Decreasing Functions

Grade 12 Maths — Increasing and Decreasing Functions: 25 practice questions with instant scoring and explanations.

1. A function f is increasing on an interval if:
2. A function f is decreasing on an interval if:
3. For f(x) = x³ − 3x² + 2, the critical points are at:
4. A critical point of f is where:
5. The function f(x) = x² is:
6. For f(x) = x³, the function is:
7. The First Derivative Test states that if f'(x) changes from positive to negative at x = c, then x = c is a:
8. If f'(x) changes from negative to positive at x = c, then x = c is a:
9. For f(x) = e^x, the function is:
10. The function f(x) = −x² is:
11. A function is monotonic if it is:
12. For f(x) = ln(x), on the domain (0, ∞), the function is:
13. The function f(x) = sin(x) on [0, 2π] is increasing on:
14. If f(x) = x³ − 3x, then f is increasing on:
15. The function f(x) = 1/x on (0, ∞) is:
16. For f(x) = |x − 2|, the function is decreasing on:
17. If f'(x) = (x − 1)(x − 3), then f is increasing on:
18. A stationary point of f is a point where:
19. The function f(x) = x⁴ − 4x² has critical points at:
20. For f(x) = x² − 4x + 3, the function is decreasing on:
21. If f'(x) = 3x²(x − 2), then f is decreasing on:
22. The function f(x) = x/(x² + 1) has critical points where:
23. For f(x) = eˣ − e⁻ˣ, the function is:
24. Question?
25. Question?