Course review

2.1 Functions - SL content

Review each learning objective in this topic, then open its concept explanation or question set.

6 Learning objectives0 Mastered0% Topic mastery0 Attempts

Learning objective

SL 2.1—Straight lines

New

• Use gradient, intercepts and forms of a straight line. • Know parallel gradients m1=m2 and perpendicular gradients m1m2=-1.

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Learning objective

SL 2.2—Functions and inverses

New

• Understand function, domain, range, graph and function notation. • Interpret functions as mathematical models. • Inverses undo functions, reflect in y=x and exist for one-to-one functions.

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Learning objective

SL 2.3—Graphing functions

New

• Draw/sketch graphs from equations, contexts or technology. • Label axes and key features, including sums and differences of functions.

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Learning objective

SL 2.4—Key graph features

New

• Determine maxima, minima, intercepts, symmetry, vertex, roots/zeros and asymptotes. • Use technology to find intersections of curves or lines.

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Learning objective

SL 2.5—Modelling with functions

New

• Use linear, piecewise linear, quadratic, exponential, direct/inverse variation, cubic and sinusoidal models. • Interpret key parameters such as roots, vertex, asymptotes, amplitude, period and principal axis. • Use technology where appropriate to find roots and fit or interpret models.

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Learning objective

SL 2.6—Modelling process

New

• Choose an appropriate model and reasonable domain for a context. • Find model parameters using technology, initial conditions or substitution of points. • Test, reflect on, interpret and use models; recognize dangers of extrapolation.

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