1. Combination of Functions
Lesson 8.3

2. Functions to Combine
Enter these functions into your calculator

3. Combining Functions Consider the following expressions
Predict what will be the result if you graph

4. Combining Functions Turn off the two original functions (F4)
Use them in the expression for the combined function
How does this differ from a parabola?

5. Application Given two functions having to do with population
P(x) is the number of people
S(x) is the number of people who can be supplied with resources such as food, utilities, etc.
Graph these two functions
Window at 0 < x < 100 and 0 < y < 1000

6. Population and Supply Viewing the two functions
What is the significance of S(x) – P(x)
What does it look like – graph it

7. Population and Supply
What does it mean?
When should we be concerned?

8. Population and Supply Per capita food supply could be a quotient
When would we be concerned on this formula? Set window -5 < y < 5

9. Combinations Using Tables
Determine the requested combinations x -2 -1 1 2 3
r(x) 5 6 7 8 9
s(x)
s(x)/r(x)
r(x)-s(x)
4 – 2r(x)

10. Descriptive Functions
Let f(t) = number of males, g(t) = number of females in Canada in year t
Let h(t) = average income of females in Canada in year t
What is the formula for p(t)
The number of people in Canada in year t
What is the formula for m(t)
The total amount of money earned by Canadian females in year t

11. Simplifying Formulas Given functions Write simplified formulas for
f(x) = u(x) + v(x)
k(x) = v(x)2
h(x)=2u(x) – 3v(x)

12. Assignment
Lesson 8.3
Page 379
Exercises 1 – 41 EOO