document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687121>Question 687121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the graph of f(x)=4^x+3  -1, what is the range?\r<BR>\n" );
document.write( "\n" );
document.write( "I'm getting confused between the getting the range,and getting the domain on these. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425041 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=425041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you're talking about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E%28x%2B3%29-1 ALIGN=MIDDLE  ALT=\"4%5E%28x%2B3%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the range is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E+-1 ALIGN=MIDDLE  ALT=\"y+%3E+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the range of the parent function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5Ex ALIGN=MIDDLE  ALT=\"4%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E+0 ALIGN=MIDDLE  ALT=\"y+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5Ex ALIGN=MIDDLE  ALT=\"4%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > is always positive). Then you shift it down 1 unit to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5Ex-1 ALIGN=MIDDLE  ALT=\"4%5Ex-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this alters the range to become <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E+-1 ALIGN=MIDDLE  ALT=\"y+%3E+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );