Week 2 Set a

Purpose This problem set continues your trip back into distant pasts. This time the focus is on alternative representations of the same function (concept, a critical idea in all kinds of areas).

Finger Exercises

Exercise 1 Turn the following table into a function definition:

t =		1		2		3		4		5		6		7		8		9		10
d =		4		8		12		16		20		24		28		32		36		40

Remember that a function definition has the shape

d(t) = ... a variable expression ...

Exercise 2 Complete the following table:

t =		1		2		3		4		5		6
d =		QWERT		QWER		QWE		?		?		?

Can you turn this table into a function definition? The function maps counting numbers to strings. You may try this in English or BSL, either way is fine.

In case you forgot your grade school terminology, a counting number is We will get to the "..." part in a few weeks. 0, 1, 2, 3, 4, 5, ...

Exercise 3 Take a look at figure 1, which is a graph of f, a function of x.

Turn the graph into a table for x = 0, 1, 2 and 3.

Can you also formulate a function definition?

Figure 1: A function graph for f

Graded Exercises

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