HardMathematicsHigh School (11–12)Functions and Calculus › Graphs of FunctionsNumerical

Write f(x) = (x - 2)³ as the sum of an even function and an odd function.

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

Write $f(x) = (x - 2)^3$ as the sum of an even function and an odd function.

Need a reminder? The key ideaShow

$f(x - h) + k$ moves the graph $h$ right and $k$ up; $a\,f(x)$ stretches the heights; $f(-x)$ and $-f(x)$ reflect it. Even: $f(-x) = f(x)$ . Odd: $f(-x) = -f(x)$ .

The worked solution

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Write f(x) = (x - 2)³ as the sum of an even function and an odd function.

The worked solution

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