document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #796991 by Boreal(15235) $\"\"$ $\"About$

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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.
\n" ); document.write( "base graph (-1, 0.5), (0, 1), (1, 2), (2, 4)
\n" ); document.write( "new graph without shift of -3 (-1, 1), (0, 2), (1, 4), (2, 8)
\n" ); document.write( "these are all shifted down 3 (-1, -2), (0, -1), (1, 1), (2, 5)
\n" ); document.write( "The domain is all x
\n" ); document.write( "the range is x >=-3 since the first term cannot be negative.\r
\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C300%2C-10%2C10%2C-20%2C50%2C2%5Ex%2C2%5E%28x%2B1%29-3%29\"$ \n" ); document.write( "

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