Question 13
It helps to think of the shape of graphs such as $y=x$, $y=x^2$ and $y=\sqrt{x}$ for $0\leq x \leq 1$. The higher the power, the smaller the end result because multiplying numbers between 0 and 1 together makes the product smaller than the original numbers. Alternatively, substitute $x=\frac{1}{2}$ into each expression.
Answer A $= 2 $ when $ x=\frac{1}{2}$
Answer B $= \frac{1}{4} $ when $ x=\frac{1}{2}$
Answer C $= \frac{2}{3} $ when $x=\frac{1}{2}$
Answer D $= \sqrt{2} $ when $x=\frac{1}{2}$
Answer E $= \frac{1}{\sqrt{2}} $ when $x=\frac{1}{2}$
It helps to think of the shape of graphs such as $y=x$, $y=x^2$ and $y=\sqrt{x}$ for $0\leq x \leq 1$. The higher the power, the smaller the end result because multiplying numbers between 0 and 1 together makes the product smaller than the original numbers. Alternatively, substitute $x=\frac{1}{2}$ into each expression.
Answer A $= 2 $ when $ x=\frac{1}{2}$
Answer B $= \frac{1}{4} $ when $ x=\frac{1}{2}$
Answer C $= \frac{2}{3} $ when $x=\frac{1}{2}$
Answer D $= \sqrt{2} $ when $x=\frac{1}{2}$
Answer E $= \frac{1}{\sqrt{2}} $ when $x=\frac{1}{2}$