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

Say whether each function is even, odd or neither. 1/x³; x⁴ + x²; x² + x; x|x|

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

Say whether each function is even, odd or neither.

$\dfrac{1}{x^3}$

$x^4 + x^2$

$x^2 + x$

$x|x|$

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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Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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Say whether each function is even, odd or neither. 1/x³; x⁴ + x²; x² + x; x|x|

The worked solution

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