Functions math

Functions math

1. exponential

   • f(X)=a x
   • Compound interest
     • Properties of logarithsms
       • P1: log a RN=log a R+log a N
         • P2: log a (R/N)= log a R- log a N
           • P5: a log a R=P
       • P3: log a Rn =Nx log a R
         • P4: log a aP= p
           • P6: log a 1=0
       • log a 1=0
     • Anually A=P(1+r)t
     • Continously A=Pe rt
     • Periods of time A=P(1+r/n)nt
     • Decay
       • In exponential decay, the total value decreases but the proportion that leaves remains constant over time.
     • Growth
       • A model for growth of a quantity for which the rate of growth is directly proportional to the amount present.

2. Domain

   • 0-x-+infinito
   • x-values

3. Range

   • y-values
     • Range: N
   • Codomain
     • A set o numbers
       • Codomain: R

4. Quadratic formula

   • y=ax2 + bx + c
   • Y- intercept (0,C)
     • Graph
       • concavity( up U possitive, down n negative
         • Vertex
           • x1+x2/2=x
           • -b/2a=x
             • You put z in the function to get the x coordinate.

5. Equations

   • Independent variable
     • It is a letter that represents any number that has been choosen with "no criteria".
   • Dependent variable
     • It is a different letter or notation whose value is a consecuence of operating pedmas with the previous choosen value.

6. Statistic table

   • A tool to analize and graph different functions

7. Power

   • Properties
     • am · a n = am+n
     • an · b n = (a · b) n
     • an · b n = (a · b) n
     • am : a n = am - n
     • (am)n = am · n
   • a0 = 1
   • a1 = a
   • a b=c a=base, b=exponent, c= product or answer
     • Roots

8. Linear

   • y=mx+b
   • y-intecept, slope y-intercept=(0,b), slope= m
     • (+) possitive /
     • zero _
     • no slope I
     • (-) negative

9. Divisions

   • Synthetic
     • In order to use it, you must have one ploynomial divided by a binomial in the form (x-a); where x is the variable and a is the real number.
   • Long

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