ZIMSEC O-Level Mathematics
5.1Functional graphs
Functional graphs in ZIMSEC O-Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic158 practice questions8 lessons
Learning objectives
What the syllabus expects you to be able to do.
- 5.1.1Use functional notation f(x) and evaluate functions for given values.
- 5.1.2Draw straight-line graphs, find gradients from two points, and interpret and obtain equations of the form y = mx + c, including recognising parallel lines.
- 5.1.3Construct tables of values and draw graphs of linear, quadratic, cubic and inverse functions, reading off values and turning points.
- 5.1.4Solve equations graphically, including from the points of intersection of two graphs.
- 5.1.5Estimate the gradient of a curve at a point by drawing a tangent and interpret it as a rate of change.
Lessons
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Coordinates in four quadrants
20 min
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Drawing straight-line graphs
25 min
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Function notation
30 min
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Gradient of a curve: drawing tangents
25 min
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Gradient of a straight line
25 min
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Graphs of functions and solving equations graphically
40 min
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Parallel lines and their equations
25 min
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The equation of a straight line
30 min
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Sample question
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