Question

I am working through data sets and exponential relations. I currently have to create a data set that contains such exponential relation.I chose f(x) = 2^(x+2) Thus my data set would be as follows:__x__ __y__ 0 4 1 8 2 16 3 32 4 64 5 128 6 256 7 512 8 1,024When I graph this, it looks different than the examples used, am I assigning the correct x and y values?

Answer 1

Given:

The function is,

`f(x)=2^(x+2)`

Along with the given data in the question , find some values for given function,

`\begin{gathered} \text{for x=-1,} \\ f(x)=2^(-1+2)=2^1=2 \\ \text{for x=-2} \\ f(x)=2^(-2+2)=1 \\ \text{for x=-3} \\ f(x)=2^(-3+2)=2^(-1)=0.5 \end{gathered}`

The graph of the given function is,