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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
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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
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 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.
Take a number and tell is it even or odd?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.
Is sin x plus cos x an odd or even function?
Neither.
