Question 1171903: Compare the graph of f(x) = 2^x+1 - 3, to the graph of the parent function. Describe the domain and range of f.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! compared to f(x)=2^x, this graph is shifted to the left and down 3 units. This will lower the graph at the outset, but it will climb a power of 2 earlier or to the left of the parent graph.
base graph (-1, 0.5), (0, 1), (1, 2), (2, 4)
new graph without shift of -3 (-1, 1), (0, 2), (1, 4), (2, 8)
these are all shifted down 3 (-1, -2), (0, -1), (1, 1), (2, 5)
The domain is all x
the range is x >=-3 since the first term cannot be negative.
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