Question

Compare f(3) and g(3)$f(x) = - 2 ({2})^{x}$f(3) is =, >, or < than g(3)

Answer 1

From the table, we know that:

$g(3)=-20$

Substitute x=3 into the rule of correspondence of f to find f(3):

$\begin{gathered} f(x)=-2(2)^x \\ \Rightarrow f(3)=-2(2)^3 \\ =-2(8) \\ =-16 \end{gathered}$

Since f(3)=-16 and g(3)=-20, and -20<-16, then:

[tex]g(3)