1.1.2 Graphs
We have now converted information from words or pictures to tables to formulae and now we’re going to look at how we can convert information into graphs:
Example:
If we invest R1 and it doubles every month, how much will we have at the end of 1 year?
Let’s first draw a table:
Months 1 2 3 4 5 6 7 8 9 10 11 12
Rands 1 2 4 8 16 32 64 128 256 512 1024 2048
Now let’s depict this information as a graph or chart:
We can draw a bar chart: Or we can draw a line graph:
Formative Assessment
Activity 5
Please follow the instructions from your facilitator to complete the Activity in your Formative Assessment Guide
3.2 Compare, analyse and describe the behaviour of patterns and functions
In the previous section, we looked at how to
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A common example of an algorithm would be instructions for assembling a model aeroplane. Given the starting set of a number of marked pieces, one can follow the instructions given to result in a predictable end-state: the completed plane. Misprints in the instructions, or a failure to properly follow a step will result in a faulty end product.
In mathematics, an algorithm is a problem-solving procedure: a logical step-by-step procedure for solving a mathematical problem in a finite number of steps, often involving repetition of the same basic operation. In other words, we are talking about a pattern of operations.
The mathematical concept of a function expresses the idea that one quantity (also known as the argument or input) completely determines another quantity (the value, or the output).
An example of a function is f(x) = 2x, which assigns to every real number the real number that is twice as big. So, if x is 5, we can write f(5) = 10 or if x is 6, we can write f(6)= 12, and so the pattern continues.
3.2.2 The key features of the graphs of functions
Graph Domains and