f(x)=4^(-x)
plot(f(x), (x, -3, 3), ymax=30)
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f(x)=2^(abs(x))
plot(f(x), (x, -3, 3), ymax=2)
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f(x)=-(1/2)^x
plot(f(x), (x, -3, 3))
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f(x)=(1/2)^x+(1/2)^(-x)
plot(f(x), (x, -3, 3))+plot((1/2)^x, (x, -3, 3), color='red')+plot(f(x), (x, -3, 3), color='black')
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f(x)=2^x
g(x)=2^x+2
h(x)=2^(x+1)-2
plot(f(x), (x, -3, 3))+plot(g(x), (x, -3, 3), color='red')+plot(h(x), (x, -3, 3),color='black')
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f(x)=log(x,2)
g(x)=log(x-2,2)
h(x)=log(x,2)+3
t(x)=log(x-2,2)+3
plot(f(x), (x, 0, 5))+plot(g(x), (x, 2, 5), color='red')+plot(h(x), (x, 0, 5),color='black')+plot(t(x), (x, 2, 5), color='green')
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f(x)=log(abs(x), 10)
plot(f, (x, -3, 3), ymin=-1)
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f(x)=abs(log(x, 10))
plot(f, (x, 0, 3))
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solve((1/2)^x==4,x)
[x == -2] [x == -2] |
solve(1/27==x^(-3),x)
[x == 3/2*I*sqrt(3) - 3/2, x == -3/2*I*sqrt(3) - 3/2, x == 3] [x == 3/2*I*sqrt(3) - 3/2, x == -3/2*I*sqrt(3) - 3/2, x == 3] |
solve(exp(3+3*x)==exp(-8*x), x)
[x == (-3/11)] [x == (-3/11)] |
solve(log(1/8,x)==-1/3,x)
[x == 512] [x == 512] |
solve(log(x,16)==1/2,x)
[x == e^(1/2*log(16))] [x == e^(1/2*log(16))] |
solve(log(log(x,2),2)==1,x)
[x == 4] [x == 4] |
solve(exp(x)-5+6*exp(-x)==0,x)
[x == log(3), x == log(2)] [x == log(3), x == log(2)] |
solve(log(x^2)==(log(x))^2,x)
[log(x^2) == log(x)^2] [log(x^2) == log(x)^2] |
f(x)=cos(x)
plot(f(x), (x, -pi, 3*pi))
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f(x)=tan(x)
plot(f(x), (x, -pi, 3*pi), ymax=5, ymin=-5)
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f(x)=sin(x)
g(x)=2*sin(x)
h(x)=(1/2)*sin(x)
p1=plot(f(x), (x, -2*pi, 2*pi))
p2=plot(g(x), (x, -2*pi, 2*pi), color='red')
p3=plot(h(x), (x, -2*pi, 2*pi), color='green')
p1+p2+p3
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f(x)=sin(x)
t(x)=sin(2*x)
u(x)=sin((1/2)*x)
p1=plot(f(x), (x, -2*pi, 2*pi))
p4=plot(t(x), (x, -2*pi, 2*pi), color='black')
p5=plot(u(x), (x, -2*pi, 2*pi), color='yellow')
p1+p4+p5
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f(x)=cos(x)
g(x)=cos(x-1)+2
plot(f(x), (x, -2*pi, 2*pi))+plot(g(x), (x, -2*pi, 2*pi), color='red')+plot(1, (x, -2*pi, 2*pi), color='green')
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f(x)=4*sin(x-1)+2
plot(f(x), (x, -2*pi, 2*pi))
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f(x)=sin(abs(x))
plot(f(x), (x, -2*pi, 2*pi))
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f(x)=abs(cos(x-pi/2))
plot(f(x), (x, -2*pi, 2*pi))+plot(cos(x), (x, -2*pi, 2*pi), color='red')
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f(x)=sin(x)+sin(2*x)
plot(f(x), (x, -2*pi, 2*pi))
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f(x)=cot(x)
plot(f(x), (x, -2*pi, 2*pi), ymax=10, ymin=-10)
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f(x)=cot(x)
g(x)=tan(x)
plot(f(x), (x, -2*pi, 2*pi), ymax=10, ymin=-10)+plot(g(x), (x, -2*pi, 2*pi), ymax=10, ymin=-10, color='red')
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f(x)=sec(x)
plot(f(x), (x, -2*pi, 2*pi), ymax=10, ymin=-10)+plot(cos(x), (x, -2*pi, 2*pi), ymax=10, ymin=-10, color='red')
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