6.7

Week 2 Set a

home work!

Programming Language English and mathematics

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?

image

Figure 1: A function graph for f

Graded Exercises

none