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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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Real Functions — Lesson quiz
6 questions
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Properties of Functions
Text lesson
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Properties of Functions — Lesson quiz
6 questions
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Monotonicity of Functions
Text lesson
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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
Text lesson
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Rational Exponents — Lesson quiz
6 questions
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The Exponential Function and Its Applications
Text lesson
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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
Text lesson
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The idea of an inverse function
When does an inverse exist?
How to find the inverse
The graph of the inverse
Worked examples
Common mistakes
Lesson summary
The Inverse Function — Lesson quiz
6 questions
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The Logarithmic Function
Text lesson
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The Logarithmic Function — Lesson quiz
6 questions
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Properties of Logarithms
Text lesson
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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
Text lesson
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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
The Inverse Function
Pure Mathematics — Second Secondary
The Inverse Function
Explanation
Practice
The graph of the inverse
The graph of the inverse
The graph of the inverse function is the reflection of the graph of the original function in the line y = x.
If the point (a, b) lies on the graph of f, then the point (b, a) lies on the graph of f−1.
This is why the two graphs are symmetric about the line y = x.
The Inverse Function · 4 / 7
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