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Mathematics 21 Online
OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

even? @Directrix

Directrix (directrix):

I think so but let's get a definition of even function here to verify.

Directrix (directrix):

DEFINITION. A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. A function f is odd if the graph of f is symmetric with respect to the origin.

Directrix (directrix):

f(-x) = (-x)^2 - 3 = x^2 - 3 f(x) = x^2-3 f(-x) = f(x) Yes, you are correct that the function is even.

Directrix (directrix):

@cutegirl

OpenStudy (anonymous):

thanks

Directrix (directrix):

You are welcome.

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