Curriculum
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General Mathematics — Second Secondary
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Curriculum
General 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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Monotonicity of Functions
Text lesson
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Monotonicity of Functions — Lesson quiz
6 questions
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Even and Odd Functions
Text lesson
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Definition of even and odd
Rules for combining even and odd functions
Worked examples
Common mistakes
Lesson summary
Even and Odd Functions — Lesson quiz
6 questions
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Graphing Functions
Text lesson
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Graphing Functions — Lesson quiz
6 questions
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Solving Equations and Inequalities
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Solving Equations and Inequalities — Lesson quiz
6 questions
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Unit 2: Exponents, Logarithms and Applications
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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
Text lesson
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Solving Exponential Equations — 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
Even and Odd Functions
General Mathematics — Second Secondary
Even and Odd Functions
Explanation
Practice
Rules for combining even and odd functions
Rules for combining even and odd functions
If f and h are both defined on a symmetric domain
then:
Operation
Result
Even + even
Even
Odd + odd
Odd
Even × even
Even
Odd × odd
Even
Even × odd
Odd
For example
if f is even and h is odd
then (f × h)(−x) = f(−x) × h(−x) = f(x) × (−h(x)) = −(f × h)(x). So the product is odd.
Even and Odd Functions · 2 / 5
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