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6912303
FUNCTIONS
Description
Noveno Álgebra Mind Map on FUNCTIONS, created by Ivan camilo Ariza Rodriguez on 07/11/2016.
No tags specified
functions
algebra
logarithms
álgebra
noveno
Mind Map by
Ivan camilo Ariza Rodriguez
, updated more than 1 year ago
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Created by
Ivan camilo Ariza Rodriguez
almost 8 years ago
Copied by
Ivan camilo Ariza Rodriguez
almost 8 years ago
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Resource summary
FUNCTIONS
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 → ±∞.
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
COMPOSING FUNCTIONS
THIS MEANS TO COMBINE FUNCTIONS PUTTING ONE INTO ANOTHER
CHANGING X
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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