TYPES OF FUNCTIONS

TYPES OF FUNCTIONS

1. POLYNOMIAL FUNTIONS

   • Linear Functions
     • General form: f(x)=mx + b
       • A high school has 1200 setudentes enrolled in 2003 and 1500 students in 2006, if the population P; grow as a linear od time t, where T is the number of years after 2003
   • constant Function
     • General form: f(x)= k
       • dadala la funcion f(x): 2 grafique
   • quadratic Function
     • General form: f(x) = ax² + bx + c
       • an object is launched ar 19.6 meters per second (M/s) from a 58.8 meter tall platfom he equation for the object's weight S at time os at time t seconds after launched is s(t) =-4.9t2 +19,6t+58.8
   • polynomical Function
     • General form: f(x) = a0 + a1 x + a1 x² + a1 x³ +··· + an xn
       • given: f(x) 2x3-7x2+9x+x22 find f(3) an make he grapgh

2. SPECIAL FUNCTIONS

   • Absolut value function
     • General form f(cx: |x|
       • a machine fills quater oatmeals conyainers with 32 ouncesof oatmeal after the cuntainers wight differs from the desire 32 onces weight by more than 0,5 the container is rrejected
   • square root function
     • General form: f(x) = √x
       • pilots use the function D(a) = 3,56 √a to aproximate the distance in kilometers to the horion from altitude a nmeter in A: 11000m ehat's the aproximat distance
   • rational function
     • General form: p(x)/Q(x)
       • a plane flies 450 mles with the wind and 300 miles against the wind in the some lengt of time. if the speed of the wind 29 mph what is he speed of the plane in still air

3. TRASCENDENTAL FUNCTIONS

   • Exponential function
     • General form: f (x) = a x
       • marisa invests 300 USD at a bank that offer 5% compouned anually growthfactor 1.05 300 (1.05)
   • logarithmic function
     • General form: f(x)= loga x
       • the formula used to find the measus of the magnitude of an erathquake es M (X)=LOG (X/X0) , If X=7943 XO= 0.001 WHAT'S THE INTENSITY OF THE EARTHQUAKE?
   • trigonometric function
     • General form: f(x) = sen x , f(x) = cos x, f(x) = tg x, f(x) = cosec x, f(x) = sec x, f(x) = cotg x
       • Anne sees a rocket at an angle of elevation of 11 degrees. If the rocket launch pad is 5 miles away from Anne, then how high is the rocket?

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