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Pure Mathematics — Second Secondary
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Curriculum
Pure Mathematics — Second Secondary
Unit 1: Real Functions and Curve Sketching
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Real Functions
Text lesson
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The idea of a real function
Testing a function: the vertical line test
Finding the domain of a function
Worked examples
Common mistakes
Lesson summary
Real Functions — Lesson quiz
6 questions
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Properties of Functions
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Properties of Functions — Lesson quiz
6 questions
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Monotonicity of Functions
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Monotonicity of Functions — Lesson quiz
6 questions
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Graphing Functions
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Graphing Functions — Lesson quiz
6 questions
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Unit 2: Exponents and Logarithms
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Rational Exponents
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Rational Exponents — Lesson quiz
6 questions
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The Exponential Function and Its Applications
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The Exponential Function and Its Applications — Lesson quiz
6 questions
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Solving Exponential Equations
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Solving Exponential Equations — Lesson quiz
6 questions
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The Inverse Function
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The Inverse Function — Lesson quiz
6 questions
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The Logarithmic Function
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The Logarithmic Function — Lesson quiz
6 questions
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Properties of Logarithms
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Properties of Logarithms — Lesson quiz
6 questions
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Unit 3: Limits
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Introduction to Limits
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Introduction to Limits — Lesson quiz
6 questions
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Finding Limits Algebraically
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Finding Limits Algebraically — Lesson quiz
6 questions
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Limits at Infinity
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Limits at Infinity — Lesson quiz
6 questions
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Unit 4: Trigonometry
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The Sine Rule
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The Sine Rule — Lesson quiz
6 questions
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The Cosine Rule
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The Cosine Rule — Lesson quiz
6 questions
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Text lesson
Real Functions
Pure Mathematics — Second Secondary
Real Functions
Explanation
Lesson summary
Lesson summary
A real function links each element of the domain to exactly one element of the range.
The vertical line test shows whether a graph represents a function.
The domain of a rational function excludes values that make the denominator zero.
The domain of a square-root function requires the expression under the root to be greater than or equal to zero.
To find x from a known output, form an equation, solve it, and then check the answer.
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