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Nigerian Scholars » Tutorials » Mathematics » Functions I

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Introduction to Functions

Set Notation

Interval Notation

Function Notation

Representations of Functions

Domain and Range

Functions of the Form y = x

Functions of the Form y = mx + c

Discovering the Characteristics of Linear Functions

Sketching Graphs of the Form y = mx + c

Dual Intercept Method

Gradient and y-intercept Method

Functions of the Form y = x^{2}

Functions of the Form y = ax^{2} + q

Discovering the Characteristics of Quadratic Functions

Sketching Graphs of the Form y = ax^{2} + q

Functions of the Form y = ^{1}/_{x}

Functions of the Form y = ^{a}/_{x} + q

Discovering the Characteristics of Hyperbolic Functions

Sketching Graphs of the Form y = ^{a}/_{x} + q

Functions of the Form y = b^{x}

Functions of the Form y = ab^{x} + q

Discovering the Characteristics of Exponential Functions

Sketching Graphs of the Form y = ab^{x} + q

Functions of the Form y = sin θ

Functions of the Form y = a sin θ + q

Discovering the Characteristics of Sine Functions

Functions of the Form y = cos θ

Functions of the Form y = a cos θ + q

Discovering the Characteristics of Cosine Functions

Comparison of graphs of y = sin θ and y = cos θ

Functions of the Form y = tan θ

Functions of the Form y = a tan θ + q

Discovering the Characteristics of Tangent Functions

Interpretation of Graphs

Summary and Main Ideas