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Which one is symmetric function?
f(x,y)=x−yf(x,y)=x-yf(x,y)=x−y
g(x,y)=2(x+y)g(x,y)=2(x+y)g(x,y)=2(x+y)
f(x,y)=3x2y2f(x,y)=3x^2y^2f(x,y)=3x2y2
g(x,y)=x3+y2g(x,y)=x^3+y^2g(x,y)=x3+y2
Is the sentence true or false?
Symmetry is a mirror image.
True
False
Complete:
The function f(x)=x3f(x)=x^3f(x)=x3 is symmetric about __________ .
x-axis
y-axis
origin
The function f(x)=x2f(x)=x^2f(x)=x2 is symmetric about __________ .
X-axis
Y-axis
Origin
f(x,y)=xy2f(x,y)=xy^2f(x,y)=xy2
g(x,y)=x2+y2g(x,y)=x^2+y^2g(x,y)=x2+y2
The function f(x)=∣x∣f(x)=|x|f(x)=∣x∣ is symmetric about __________ .
The function f(x)=sinxf(x)=\sin xf(x)=sinx is symmetric about __________ .
For a function to be symmetric the condition is:f(x,y)=f(y,x)f(x,y)=f(y,x)f(x,y)=f(y,x) .
f(x,y)=xyf(x,y)=xyf(x,y)=xy
g(x,y)=x2+yg(x,y)=x^2+yg(x,y)=x2+y
It is done.