document.write( "Question 43185: Find the range and horizontal asymptote of the exponential function y = 3^x - 1.\r
\n" ); document.write( "\n" ); document.write( " a. Range: (-1, inf)
\n" ); document.write( "Horizontal asymptote: y = -1
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\n" ); document.write( " b. Range: (0, inf)
\n" ); document.write( "Horizontal asymptote: y = 0
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\n" ); document.write( " c. Range: [0, inf)
\n" ); document.write( "Horizontal asymptote: y = 0
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\n" ); document.write( " d. Range: All real numbers
\n" ); document.write( "Horizontal asymptote: None
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\n" ); document.write( " e. None of the others
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Algebra.Com's Answer #28183 by Nate(3500)\"\" \"About 
You can put this solution on YOUR website!
\"y+=+3%5Ex+-+1\"
\n" ); document.write( "Think about this:
\n" ); document.write( "\"y+=+3%5Ex\"
\n" ); document.write( "Three to any power is always greater than zero: \"y+%3E+0\"
\n" ); document.write( "Asymptote: \"y+=+0\"
\n" ); document.write( "\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3%5Ex%2C+0%29+\"
\n" ); document.write( "Now, think about this:
\n" ); document.write( "\"y+=+3%5Ex+-+1\"
\n" ); document.write( "Same concept, but every unit is one less: \"y+%3E+-1\"
\n" ); document.write( "Asymptote: \"y+=+-1\"
\n" ); document.write( "Range: \"y+%3E+-1\" (-1,+infinity)
\n" ); document.write( "\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3%5Ex+-+1%2C+-1%29+\"
\n" ); document.write( "It is (A).
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