2010.09.20 1.3 Functions

4054 days ago by calcpage123

#1) x!=2, y!=0 plot(1/(x-2),(0,4),ymin=-2,ymax=2) 
       
#2) sqrt(x+1) #2) x+1>=0 #2) x>=-1, y>=0 plot(sqrt(x+1),(-1,10)) 
       
#2) solve(x+1>=0,x) 
       
\newcommand{\Bold}[1]{\mathbf{#1}}\left[\left[x \geq \left(-1\right)\right]\right]
\newcommand{\Bold}[1]{\mathbf{#1}}\left[\left[x \geq \left(-1\right)\right]\right]
#3) plot(sqrt(1-x**2),(-1,1),aspect_ratio=1) 
       
#3) solve(1-x**2>=0,x) 
       
\newcommand{\Bold}[1]{\mathbf{#1}}\left[\left[x \geq \left(-1\right), x \leq 1\right]\right]
\newcommand{\Bold}[1]{\mathbf{#1}}\left[\left[x \geq \left(-1\right), x \leq 1\right]\right]
#4) f(123)=6 #4) f(229)=13 #4) Df: 100<=x<=999, cardinality of domain = 900 #4) Rf: 1<=y<=27, cardinality of range = 27 
       
#5) h(n)=n**2+1 plot((x**2+1,2,5,10,17,26,37),(1,6)) 
       
#8) f(x)=x/sqrt(1-x**2) #8) Df: -1<x<1 #8) Rf: -inf<y<+inf plot(x/(1-sqrt(x**2)),(-1,1)) 
       
#9) f(g(1))=f(0)=1 #9) g(f(1))=g(-1)=-2