document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1124548>Question 1124548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please show me step by step about this question. I’m preparing for my 1st out 4 exams on my math class in a week today. <BR>\n" );
document.write( "Here’s the question: for the following piecewise functions, graph, state, domain, range and intercepts<BR>\n" );
document.write( "F(x)=3x+4 if-2<=x<0<BR>\n" );
document.write( "          -3 if x=0<BR>\n" );
document.write( "           -2x if x>0<BR>\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #740886 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=740886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your piece-wise functions are:\r<BR>\n" );
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document.write( "F(x)=3x+4 if-2<=x<0<BR>\n" );
document.write( "-3 if x=0<BR>\n" );
document.write( "-2x if x>0\r<BR>\n" );
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document.write( "the first of them is f(x) = 3x + 4 if -2 <= x < 0\r<BR>\n" );
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document.write( "let y = f(x).\r<BR>\n" );
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document.write( "the equation becomes y = 3x + 4 if -2 <= x < 0\r<BR>\n" );
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document.write( "the domain is all real values of x such that -2 <= x < 0\r<BR>\n" );
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document.write( "the range is all real values of y then x is equal to -2 all the way up to when x is < 0.\r<BR>\n" );
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document.write( "when x = -2, y = 3x + 4 = -2<BR>\n" );
document.write( "when x = 0,y = 4\r<BR>\n" );
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document.write( "the range is therefore all real values of y such that -2 <= y < 4\r<BR>\n" );
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document.write( "the x-intercept is the value of x when y = 0.\r<BR>\n" );
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document.write( "when y = 0, the equation becomes 0 = 3x + 4\r<BR>\n" );
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document.write( "solve for x to get x = -4/3.\r<BR>\n" );
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document.write( "the x-intercept is -4/3, which is the point (-4/3, 0)\r<BR>\n" );
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document.write( "the y-intercept is the value of y when x = 0.\r<BR>\n" );
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document.write( "since x can't be equal to 0, there is no y-intercept.\r<BR>\n" );
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document.write( "the second of them is f(x) = -3 if x = 0.\r<BR>\n" );
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document.write( "let y = f(x) and the equation becomes y = -3.\r<BR>\n" );
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document.write( "the domain is all real values of x such that x = 0.\r<BR>\n" );
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document.write( "in other words, the value of x can only be 0.\r<BR>\n" );
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document.write( "the range is all real values of when hen x = 0.\r<BR>\n" );
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document.write( "the range is therefore all real values of y such that y = -3\r<BR>\n" );
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document.write( "in other words, the value of y can only be -3.\r<BR>\n" );
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document.write( "the x-intercept is the value of x when y = 0.\r<BR>\n" );
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document.write( "since y can't be equal to 0, there is no x-intercept.\r<BR>\n" );
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document.write( "the y-intercept is the value of y when x = 0.\r<BR>\n" );
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document.write( "the y-intercept is therefore y = -3 which is the point (0,-3).\r<BR>\n" );
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document.write( "the third of them is f(x) = -2x when x > 0.\r<BR>\n" );
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document.write( "let y = f(x) and the equation becomes y = -2x when x > 0\r<BR>\n" );
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document.write( "the domain is all real values of x such that x > 0\r<BR>\n" );
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document.write( "the range is all real values of y when x > 0.\r<BR>\n" );
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document.write( "when x = 0, the value of y is -2 * 0 = 0.\r<BR>\n" );
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document.write( "but y can't be equal to 0 because x can't be equal to 0.\r<BR>\n" );
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document.write( "when x > 0, the value of y = -2x.\r<BR>\n" );
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document.write( "x will always be negative and can never be equal to 0 because x can never be equal to 0.\r<BR>\n" );
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document.write( "the range is therefore all real values of y such that y < 0.\r<BR>\n" );
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document.write( "if you graph these equations, they will look like this.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/092802.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "the open circle means the line goes up to but does not include that point.\r<BR>\n" );
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document.write( "the closed circle means the line goes up and and includes that point.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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