FUNCTIONS

FUNCTIONS

1. EXPONENTIAL FUNCTIONS

   • APPLICATIONS
     • COMPOUND INTEREST
       • CALCULATES AN INVESTMENT FOR CERTAIN TIME AT A CERTAIN INTEREST AND RATE
       • PROVIDES A NEW ILLUSTRATION OF EXPONENTIAL GROWTH
     • DEPRECIATION
       • CALCULATE DEPRECIATION OF VALUES TAKING ACCOUNT TIME AND RATE
     • HALF-LIFE
       • WAY OF DECAY THAT CALCULATES AN AMOUNT AFTER IT TAKES 1/2 TROUGH TIME.
   • ASYMPTOTE
     • LINE THAT THE GRAPH APPROCHES AS x → ±∞.

2. LOGARITHMS

   • INVERSE FUNCTION OF A UNKNOWN EXPONENT
   • PROPERTIES
     • B ≠ 0
       • LOG_B (M·P)=LOG_B M + LOG_B P
       • LOG_B B^N=N
       • LOG_B(M÷P)=LOG_B M- LOG_B P
       • LOG_B 1=0
       • LOG_B M^X=X·LOG_B M
       • B^LOG_B M=M
       • LOG_B B=1
   • LN=LOG_E

3. COMPOSING FUNCTIONS

   • THIS MEANS TO COMBINE FUNCTIONS PUTTING ONE INTO ANOTHER
   • • CHANGING X

4. INVERSE FUNCTIONS

   • STEPS
     • • THIS STEPS COULD CHANGE BY SIMPLY CHANGING F(X) INTO X AND THE X TO Y
     • • THAT SIMBOL MEANS INVERSE FUNCTION
   • WHY?
     • • TO PROVE IF THEY ARE INVERSE FUNCTIONS YOU NEED TO COMPOSE EACH ONE WITH THE OTHER AND THE ANSWER MOST BE X
   • GRAPH
     • • THE GRAPH MOST BE OPPOSITE IN ODER WORDS INVERSE

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