Question 31139
Hello!
The graph would look something like this:

{{{graph(200,200,-2,2,-0.5,5,0.25*2^(x+2))}}}

This is an exponential function: for each unit that x increases, y is multiplied by a fixed value. In your case, notice that each time x increases by 1, y is multiplied by 2. This is a feature of exponential functions. In fact, this table probable comes from the function {{{y=0.25*2^(x+2)}}}.

The domain and range, as given from your table (and thus in the graph) are:

Domain: [-2, 2] (the values of X go from -2 to 2)
Range: [0.25, 4] (the values of Y go from 0.25 to 4)

For the entire function, the domain is all values of X, from -infinity to +infinity.
The range is (0, +infinity) - notice that in the formula I wrote above, {{{2^(x+2)}}} cannot take on negative values, so the whole function can't be negative. That's why the lower bound of the range is 0. Notice also that the 0 is not included - there is no X for which {{{2^(x+2)}}} is zero.


I hope this helps!

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