303 MrG What's a Polynomial Function?

2474 days ago by MATH4R2013

#1) (p205 #11) analyze a polynomial with these roots: {-1,1,3} f(x)=(x+1)*(x-1)*(x-3) show(f(x)) show(expand(f(x))) show(plot(f(x),-2,4)) show(max([f(x) for x in srange(-1,1,.001)])) show(min([f(x) for x in srange(1,3,.001)])) solve([(x+1)*(x-1)*(x-3)==2],x) 
       



#2) (p205 #17) analyze the polynomial: 3(x-7)(x+3)^2 f(x)=3*(x-7)*(x+3)^2 show(f(x)) show(expand(f(x))) show(plot(f(x),-4,8)) show(max([f(x) for x in srange(-4,-2,.001)])) show(min([f(x) for x in srange(3,4,.001)])) 
       




#3) (p205 #29) analyze the polynomial: x^2(x-3) f(x)=x^2*(x-3) show(f(x)) show(expand(f(x))) show(plot(f(x),-2,4)) show(max([f(x) for x in srange(-1,1,.001)])) show(min([f(x) for x in srange(1,3,.001)])) 
       




#4) A function C(x) is given where C is the cost in $10^3 #4) of producing x cars each hour at a manufacturing plant #4) find the average rate of change from (4,43) to (5,50) #4) in $10^3/car m=(50-43)/(5-4) m 
       
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