Question

POSSIBLE Match the function rule to the table of values. f(x)=2 х f (x) = (3) f(x) = 32 2 f () = ( 1 ) 28

Answer 1

First, we must evaluate each function at the given values of x.

When x=-2, we have

`\begin{gathered} f(x)=2^x\Rightarrow f(-2)=2^(-2)=(1)/(2^2)=(1)/(4)=0.25 \\ \end{gathered}`
`f(x)=((1)/(3))^x\Rightarrow f(-2)=((1)/(3))^(-2)=(1)/(3^(-2))=3^2=9`
`f(x)=3^x\Rightarrow f(-2)=3^(-2)=(1)/(3^2)=(1)/(9)=0.11`
`f(x)=((1)/(2))^x\Rightarrow f(-2)=((1)/(2))^(-2)=(1)/(2^(-2))=2^2=4`

Now, we must compare these result with the tables. Then the solutions are: