Module 2 – Functions
2.3 – Operations on Functions
If two branches of a business each generates revenue at an earnings
rate which varies over time, then the total earnings rate at any given
time will be obtained by adding the values of these two functions. If
the number of customers and their average monthly expenditure at a
certain business are given functions of time, the monthly revenue of
the business will be a function of time whose value is obtained by
multiplying the values of those two given functions. If the air
temperature depends on altitude according to a given function, and a
balloon is rising so that its altitude is given by another function
then the function giving air temperature outside the balloon as a
function of time is obtained by combining these two – but in a
different way from either the addition of revenues or multiplication of
price times number in the first two examples.
What to do
- Use this
'Reading Guide'
link to guide your reading of section 2.7 of the text. As you proceed,
use the questions in the reading guide to confirm your
understanding,keep in mind your
Learning Objectives for this section, and when you have finished be
sure to follow the suggestions regarding Further Practice.
- When you feel that you are ready, go on to the next
section.