Determine if Injective (One to One) f(x)=x square root of 2-x^2

$f (x) = x \sqrt{2 - x^{2}}$

Step 1

Write $f (x) = x \sqrt{2 - x^{2}}$ as an equation.

$y = x \sqrt{2 - x^{2}}$

Step 2

A function is said to be injective or one-to-one if every y-value has only one corresponding x-value.

Injective (One-to-One)

Step 3