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Yes, if the function is f(x) = 0 for all values of "x". Otherwise, it can't, since by definition, a function can only have one value for any "x".

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Q: Can a function have symmetry over the x-axis?
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Continue Learning about Algebra

What things are significant about the vertex of a quadratic function?

It is a turning point. It lies on the axis of symmetry.


How do you determine if a function is even or odd?

You can tell if a function is even or odd by looking at its graph. If a function has rotational symmetry about the origin (meaning it can be rotated 180 degrees about the origin and remain the same function) it is an odd function. f(-x)=-f(x) An example of an odd function is the parent sine function: y=sinx If a function has symmetry about the y-axis (meaning it can be reflected across the y-axis to produce the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2


How do you tell if a function is even or odd?

You can tell if a function is even or odd by looking at its graph. If a function has rotational symmetry about the origin (meaning it can be rotated 180 degrees about the origin and remain the same function) it is an odd function. f(-x)=-f(x) An example of an odd function is the parent sine function: y=sinx If a function has symmetry about the y-axis (meaning it can be reflected across the y-axis to produce the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2


In a quadratic function if two x-coordiantes are equidistant from the axis of symmetry then will they have the same y coordinate?

Yes, they will.


What is a figure that has point symmetry but not line symmetry?

The letters S and N have point symmetry but not line symmetry.