Curriculum
Course: Pure Mathematics — Second Secondary
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Curriculum

Pure Mathematics — Second Secondary

Unit 1: Real Functions and Curve Sketching

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Unit 2: Exponents and Logarithms

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Unit 3: Limits

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Unit 4: Trigonometry

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Quiz

Monotonicity of Functions — Lesson quiz

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  • Questions count: 6
  • Passing grade: 60%
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1.
What is the monotonicity of f(x) = 5 − 2x?
Increasing on all real numbers
Increasing on ]−∞, 0]
Decreasing on all real numbers
Constant on all real numbers
2.
On which interval is f(x) = x² − 6x + 5 decreasing?
[3, ∞[
]−∞, −3]
[−3, ∞[
]−∞, 3]
3.
On which interval is f(x) = −x² + 4 increasing?
]−∞, 0]
[0, ∞[
]−∞, 4]
All real numbers
4.
On which interval is h(x) = |x + 3| decreasing?
[−3, ∞[
]−∞, −3]
]−∞, 3]
All real numbers
5.
How does f(x) = x² + 2x behave on [0, ∞[?
Decreasing
Constant
Increasing
Increasing then decreasing
6.
The table gives f(1) = 2, f(2) = 5 and f(3) = 4. Is f increasing on [1, 3]?
Yes, because f(3) is greater than f(1)
Yes, because f rises from 2 to 5
Yes, because f never decreases in the table
No, because f rises from 2 to 5 and then falls to 4
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