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Whether the function is even or odd

Whether the function is even or odd-example-1

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Answer:

neither

Explanation:

You want to know if the graphed function is even or odd. It appears to be a cubic with a y-intercept of about 40.

Even functions

Even functions are symmetrical about the y-axis. A function is even if ...

f(x) = f(-x)

Even polynomial functions have terms that are all even powers of the variable.

Odd functions

Odd functions are symmetrical about the origin. A function is odd if ...

f(x) = -f(-x)

Odd polynomial functions have terms that are all odd powers of the variable.

Graphed function

The graphed polynomial function has a non-zero added constant (the y-intercept value), so has both even and odd terms. It is neither even nor odd.

The graph is neither symmetrical about the y-axis, nor symmetrical about the origin.

Whether the function is even or odd-example-1
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