Question

Y= f(x) =2^x find f(x) when x=-2 Express as a decimal, rounding to the nearest thousandth.

Answer 1

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}} \qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------\\\\ f(x)=2^x\qquad x=-2\implies f(x)=2^{-2}\implies f(x)=\cfrac{1}{2^2} \\\\\\ f(x)=\cfrac{1}{4}\implies f(x)=0.\underline{250}\impliedby \textit{3 decimals, thousandths}$