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Combination of Functions. Lesson 8.3. Functions to Combine. Enter these functions into your calculator. Combining Functions. Consider the following expressions Predict what will be the result if you graph. Combining Functions. Turn off the two original functions (F4)

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Presentation Transcript
functions to combine
Functions to Combine
  • Enter these functions into your calculator
combining functions
Combining Functions
  • Consider the following expressions
  • Predict what will be the result if you graph
combining functions1
Combining Functions
  • Turn off the two original functions (F4)
  • Use them in theexpression for thecombined function
  • How does this differ from a parabola?
application
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
population and supply
Population and Supply
  • Viewing the two functions
    • Population
    • Supply
  • What is the significance of S(x) – P(x)
  • What does it look like – graph it
population and supply1
Population and Supply
  • What does it mean?
  • When should we be concerned?
population and supply2
Population and Supply
  • Per capita food supply could be a quotient
  • When would we be concerned on this formula?Set window-5 < y < 5
combinations using tables
Combinations Using Tables
  • Determine the requested combinations
descriptive functions
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
simplifying formulas
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)
assignment
Assignment
  • Lesson 8.3
  • Page 379
  • Exercises 1 – 41 EOO