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What is a function that is symmetric with respect to the x axis?
Wiki User
∙ 9y ago
The only function that can be symmetric about the x-axis is the x-axis itself.
For each value of x a function, f(x), can have at most one value for f(x). Otherwise it is a mapping or relationship but not a function.
Wiki User
∙ 9y ago
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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.
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.
What does respect to the x-axis mean?
When you with respect to the x-axis then this is like saying with reference to the x-axis. You are using the x-axis as a guide.
What is the reflection through an x axis?
All y-values in the function are multiplied by -1. This function is 'flipped' over the x-axis.
What is an example of an x -intercept?
An x-intercept is the point where a function intersects the x-axis on a Cartesian coordinate plane. For example, if the graph of a parabola is plotted and the graph intersects the x-axis on the coordinate plane, the point(s) where the graph intersects the x-axis are the x-intercepts for that function.
Is there a function whose graph is symmetric with respect ot the x axis?
x=y²
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 that is symmetric with respect to the y-axis?
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^2f(-x) = (-x)^2 = x^2
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.
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.
How are the graphs of inverse functions symmetric?
symmetric about the y-axis symmetric about the x-axis symmetric about the line y=x symmetric about the line y+x=0
What is doubly symmetric?
If the function, or channel, or whatever you are reffering to has a axis of symmetry across both the y-axis and the x-axis
How does the parity evenness oddness of a polynomial functions degree affect its graph?
An even function is symmetric about the y-axis. The graph to the left of the y-axis can be reflected onto the graph to the right. An odd function is anti-symmetric about the origin. The graph to the left of the y-axis must be reflected in the y-axis as well as in the x-axis (either one can be done first).
What does respect to the x-axis mean?
When you with respect to the x-axis then this is like saying with reference to the x-axis. You are using the x-axis as a guide.
What kind of symmetry indicates that a function will not have an inverse?
If a function is even ie if f(-x) = f(x). Such a function would be symmetric about the y-axis. So f(x) is a many-to-one function. The inverse mapping then is one-to-many which is not a function. In fact, the function need not be symmetric about the y-axis. Symmetry about x=k (for any constant k) would also do. Also, leaving aside the question of symmetry, the existence of an inverse depends on the domain over which the original function is defined. Thus, y = f(x) = x2 does not have an inverse if f is defined from the real numbers (R) to R. But if it is defined from (and to) the non-negative Reals there is an inverse - the square-root function.
How are the points -71 and -7-1 related?
The points (-7, 1) and (-7, -1) are symmetric about the x-axis.
What is the reflection through an x axis?
All y-values in the function are multiplied by -1. This function is 'flipped' over the x-axis.
