plot(1-x^2)
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plot(x^3+1)
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var('x, y')
implicit_plot(x==y^2-1,(x,-2,2),(y,-2,2))
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plot(2*x)
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m=3 #93p 4번
b=2
f(x)=m*x+b
plot(f(x), xmax=5, xmin=-5, ymax=5, ymin=-5)
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m=-2
b=2
f(x)=m*x+b
plot(f(x), xmax=5, xmin=-5, ymax=5, ymin=-5)
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m=1/2
b=-3
f(x)=m*x+b
plot(f(x), xmax=5, xmin=-5, ymax=5, ymin=-5)
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m=-5
b=-1/4
f(x)=m*x+b
plot(f(x))
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m=-3/4 #93p 5번
b=5/4
f(x)=m*x+b
plot(f(x), xmax=5, xmin=-5, ymax=5, ymin=-5)
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m=2/5
b=6/5
f(x)=m*x+b
plot(f(x), xmax=5, xmin=-5, ymax=5, ymin=-5)
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plot(-2, color='purple')
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f(y)=-1
plot(f(y), color='red')
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m=0
b=-1
f(x)=m*x+b
plot(f(x), xmax=5, xmin=-5, ymax=5, ymin=-5)
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f(x)=3*x+4*y==5 #93P 5번 (Y절편 구하기)
f(0)
4*y == 5 4*y == 5 |
solve(x + sqrt( x + 5) == 7, x) #계산이 안됨 (104p 4(1))
[x == -sqrt(x + 5) + 7] [x == -sqrt(x + 5) + 7] |
solve((x-7)^2==(x+5), x) #식을 바꿔주니까 됨 (104p 4(1))
[x == 4, x == 11] [x == 4, x == 11] |
solve(x-sqrt(13-x)==1, x) #계산이 안됨 (104p 4(2))
[x == sqrt(-x + 13) + 1] [x == sqrt(-x + 13) + 1] |
solve(x-1==sqrt(13-x), x) #계산이 안됨 (104p 4(2))
[x == sqrt(-x + 13) + 1] [x == sqrt(-x + 13) + 1] |
solve((x-1)^2==(13-x), x) #식을 바꿔주니까 됨 (104p 4(2))
[x == -3, x == 4] [x == -3, x == 4] |
f(x)=x+sqrt(x+5)
f(4)==7 #성립함(104p 4(1))
7 == 7 7 == 7 |
f(x)=x+sqrt(x+5)
f(11)==7 #성립하지 않음(104p 4(1))
15 == 7 15 == 7 |
f(x)=x-sqrt(13-x)
f(-3)==1 #성립하지 않음(104p 4(2))
-7 == 1 -7 == 1 |
f(x)=x-sqrt(13-x)
f(4)==1 #성립함(104p 4(2))
1 == 1 1 == 1 |
solve(x^2 + abs(2*x-1) == 3, x) #105p3(1) 계산이 안됨
[x == -sqrt(-abs(2*x - 1) + 3), x == sqrt(-abs(2*x - 1) + 3)] [x == -sqrt(-abs(2*x - 1) + 3), x == sqrt(-abs(2*x - 1) + 3)] |
solve(x^2-3==-abs(2*x-1), x) #105p3(1) 계산이 안됨
[x == -sqrt(-abs(2*x - 1) + 3), x == sqrt(-abs(2*x - 1) + 3)] [x == -sqrt(-abs(2*x - 1) + 3), x == sqrt(-abs(2*x - 1) + 3)] |
solve(x^2+2*x-1==3, x) #105p3(1) _ 1 계산됨
[x == -sqrt(5) - 1, x == sqrt(5) - 1] [x == -sqrt(5) - 1, x == sqrt(5) - 1] |
solve(x^2-2*x+1==3, x) #105p3(1) _ 2 계산됨
[x == -sqrt(3) + 1, x == sqrt(3) + 1] [x == -sqrt(3) + 1, x == sqrt(3) + 1] |
solve(abs(x^2-1)==x+1, x) #105p3(2) 계산이 안됨
[x == abs(x^2 - 1) - 1] [x == abs(x^2 - 1) - 1] |
solve(x^2-1==x+1, x) #105p3(2) _ 1
[x == 2, x == -1] [x == 2, x == -1] |
solve(-x^2+1==x+1, x) #105p3(2) _ 2
[x == -1, x == 0] [x == -1, x == 0] |
f(x)=2*x-5*y==-6
f(0)/-5
y == (6/5) y == (6/5) |
solve(4*y == 5, y)
[y == (5/4)] [y == (5/4)] |
f(x)=2*x-5*y==-6
f(0)
-5*y == -6 -5*y == -6 |
solve(-5*y == -6, y)
[y == (6/5)] [y == (6/5)] |
f(X)=y+1==0
f(0)
y + 1 == 0 y + 1 == 0 |
solve(y+1 == 0, y)
[y == -1] [y == -1] |
implicit_plot(x==-6, (x, -10, 10), (y, -10, 10), axes=True)
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implicit_plot(y==5, (x, -10, 10), (y, -10, 10), axes=True)
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