Question

Look at the table of values below and write the function rule for f.

Answer 1

`f(x)=2^x`

Step-by-step explanation

Step 1

`1\Rightarrow2`

so

`f(1)=2`

now

for the others

`\begin{gathered} f(2)=4 \\ f(3)=8 \\ f(4)=16 \\ f(5)=32 \end{gathered}`

as you can see, each new term in y is 2 times the previous

then

`f(x)=2^x_{^{^{}}}`

input the values to prove

`\begin{gathered} f(x)=2^x \\ f(1)=2^1=2,ok \\ f(2)=2^2=4 \\ f(3)=2^3=2.2.2=8 \\ f(4)=2^4=2.2.2.2=16 \\ f(5)=2^5=2.2.2.2.2=32 \end{gathered}`

I hope this helps you