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What is a function that is symmetric with respect to the y-axis?
Wiki User
∙ 15y ago
A function that is symmetric with respect to the y-axis is an even function.
A function f is an even function if f(-x) = f(x) for all x in the domain of f. that is that the right side of the equation does not change if x is replaced with -x. For example,
f(x) = x^2
f(-x) = (-x)^2 = x^2
Wiki User
∙ 15y ago
Wiki User
∙ 11y agoIt is called an even function and is characterised by the equation f(-x) = f(x)
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Which functions have graphs that are a symmetrical with respect to the origin?
The only shape that is symmetric about a point are a circle, sphere and their multi-dimensional counterparts. There are many more functions that are symmetric about the axes or specific lines.
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Is there a function whose graph is symmetric with respect ot the x axis?
x=y²
What is a function that is symmetric with respect to the x axis?
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Is A function with a graph that is symmetric about the origin an even function?
An even function is symmetric about the y-axis. If a function is symmetric about the origin, it is odd.
Is Y equals 0 an even or odd function?
f(x) = 0 is a constant function. This particular constant function is both even and odd. Requirements for an even function: f(x) = f(-x) Geometrically, the graph of an even function is symmetric with respect to the y-axis The graph of a constant function is a horizontal line and will be symmetric with respect to the y-axis. y=0 or f(x)=0 is a constant function which is symmetric with respect to the y-axis. Requirements for an odd function: -f(x) = f(-x) Geometrically, it is symmetric about the origin. While the constant function f(x)=0 is symmetric about the origin, constant function such as y=1 is not. and if we look at -f(x)=f(-x) for 1, we have -f(x)=-1 but f(-1)=1 since it is a constant function so y=1 is a constant function but not odd. So f(x)=c is odd if and only iff c=0 f(x)=0 is the only function which is both even and odd.
What is the difference of odd and even functions?
An even function is symmetric about the y-axis. An odd function is anti-symmetric.
Is a circle symmetric with respect to x-axis on a graph?
Any point on the graph can be the center of a circle. If the center is on the x-axis, then the circle is symmetric with respect to the x-axis.
What is A function whose graph is symmetric about the origin?
Odd Function
Are quadratic functions symmetric with respect to the y-axis?
No, but they are symmetric with respect to a line parallel to the y-axis - which could be the y-axis itself.
Which point is not located on the xaxis or the yaxis of a coordinate grid?
Which point is not located on the xaxis or the yaxis of a coordinate grid?Read more:Which_point_is_not_located_on_the_xaxis_or_the_yaxis_of_a_coordinate_grid
What do you call two spheres that are symmetric to each other with respect to the origin?
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It means that the probability density function is symmetric about 0.
Which functions have graphs that are a symmetrical with respect to the origin?
The only shape that is symmetric about a point are a circle, sphere and their multi-dimensional counterparts. There are many more functions that are symmetric about the axes or specific lines.
