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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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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.
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
Is sin x plus cos x an odd or even function?
Neither.
Is 18 odd?
NO!!!! Any number that ends in 0,2,4,6,8 is EVEN. Any number that ends in 1,3,5,7,9 is ODD. e.g. 1,000,002 is EVEN. 1,111,111 is ODD.
