Topic 6Sub-topic
| Notes | Video | IB Practice Problems
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6.1 Concept of a function, domain, range and graph.
Function notation, eg. f(x), v(t), C(n).
Concept of a function as a mathematical model.
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Notes on section 6.1
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Examples of Domain and Range
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6.1 Questions
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6.2 Linear models.
Linear functions and their graphs,
f(x) = mx + c
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See topic 5.1
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See topic 5.1
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See topic 5.1
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6.3 Quadratic models.
Quadratic functions and their graphs.
Properties of a parabola: symmetry; vertex' intercepts on the x-axis and y-axis.
Equation of the axis of symmetry, x=-b/2a
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Notes on section 6.3
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Quadratic Functions
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6.3 Questions
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6.4 Exponential models.
Exponential functions.
Concept and equation of a horizontal asymptote.
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Notes on 6.4
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Asymptotes of Exponential Functions
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6.4 Questions
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6.5 Models using functions of the form
f(x) = ax^m + bx^n +.; where m and n are integers
Functions of this type and their graphs.
The y- axis as a vertical asymptote.
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No notes available
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No video available
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No questions available
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6.6 Draw accurate graphs.
Creating a sketch from information given.
Transferring a graph from GDC to paper.
Reading, interpreting and making predictions using graphs.
Included all the functions above and additions and subtractions.
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Notes on 6.6 and 6.7
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No video available
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6.6 Questions
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6.7 Use of a GDC to solve equations involving combinations of the function above.
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See notes linked above
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Solving equations using the graphing calculator
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6.7 Questions
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