document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174654>Question 174654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can not locate given function and locate intercepts of the function can someone help me with these problems?\r<BR>\n" );
document.write( "\n" );
document.write( "1. Given the function f(x)=-6x^2-12x-2, what is the domain of f?<BR>\n" );
document.write( "A. real numbers  b. {x\x>-1} the sign in the middle has a line under the lessthan. and a straigt line up and down at between the X's.<BR>\n" );
document.write( "C. {x\x>or equal 1}  or D. {x\xgreter or equal to-1} I choosen C. \r<BR>\n" );
document.write( "\n" );
document.write( "2. Use a graph utility to graph the function over the indicated interval nad approx any local maxima nd local minima. If necessary, round answers to two decimals: f(x)=2+8x-x^2; (-5,5) here are the choices I have to pick:<BR>\n" );
document.write( "a. local minimum at (4,50)  B. local minimum at (4,18) <BR>\n" );
document.write( "C. local minimum at (-4,18)    D. local minimum at (-4,50) <BR>\n" );
document.write( "I choosen A is that correct or where did I go wrong?\r<BR>\n" );
document.write( "\n" );
document.write( "3. Find the average rate of change for the function between the given value:<BR>\n" );
document.write( "f(x)= sqrt over 2x-1; from 1 to 5<BR>\n" );
document.write( "A. 1/2   B. -28  C. -1/6  D. -2 I choosen B. is that correct?\r<BR>\n" );
document.write( "\n" );
document.write( "4. Locate any intercept of the function.<BR>\n" );
document.write( "f(x) = { on the side of -3x+9 and underneath 9x-3  if x<1 and underneath if v>1 with a line under the ><BR>\n" );
document.write( "The answer if have to choose from is:<BR>\n" );
document.write( "A. (0,3)  B. (0,3),(3,0),(1/3,0)  C. (0,9),(3,0),(1/3,0) D. (0,9)<BR>\n" );
document.write( "I have choosen D is that correct..<BR>\n" );
document.write( "I need some help and cannot find these in the book...<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129697 by </B><A HREF=/tutors/aboutme.mpl?userid=nycsub_teacher><B>nycsub_teacher(90)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nycsub_teacher><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=129697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please list your questions one at a time instead of all questions in one post.\r<BR>\n" );
document.write( "\n" );
document.write( "I will the following question below.\r<BR>\n" );
document.write( "\n" );
document.write( "3. Find the average rate of change for the function between the given value:<BR>\n" );
document.write( "f(x)= sqrt over 2x-1; from 1 to 5\r<BR>\n" );
document.write( "\n" );
document.write( "A. 1/2 B. -28 C. -1/6 D. -2 I choosen B. is that correct? \r<BR>\n" );
document.write( "\n" );
document.write( "=========================================================\r<BR>\n" );
document.write( "\n" );
document.write( "Hello.  I will go over the question again SLOWLY.  Perhaps I made a mistake.  If so, I'll let you know along the way.  You said we need to \"square over.\"  I assume (2x - 1) lies in the radicand, right?  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I will assume that you are talking about the square root of the quantity (2x - 1), which is written as sqrt{2x - 1}.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The average rate of change formula = [f(b) - f(a)]/(b - a)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You were given a function over the interval [1, 5], which means from 1 to 5.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In this case, a = 1 and b = 5.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We now search for f(b), then we search for f(a).\r<BR>\n" );
document.write( "\n" );
document.write( "Once we have those two guys, we plug them into the formula above and simplify.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Are you with me so far?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Remember, b = 5 and a = 1 from the given interval.\r<BR>\n" );
document.write( "\n" );
document.write( "We plug each number into the function and simplify.  By doing so, we will find f(b) and f(a).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Here it is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(x) = sqrt{2x - 1}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(5) = sqrt{2(5) - 1}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(5) = sqrt{10 - 1}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(5) = sqrt{9}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(5) = 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This means that f(5) = 3 = f(b)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I see what happened.  I made a mistake.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The  square root of 9 is 3 not 9.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, f(b) = 3 NOT 9.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Sorry about that....\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==========================\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We now find f(a).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(1) = sqrt{2(1) - 1}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(1) = sqrt{2 - 1}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(1) = sqrt{1}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(1) = 1 = f(a).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==========================\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We can now plug that info into the formula and simplify.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "average rate of change = (3 - 1)/(5 - 1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "average rate of change = 2/4 = 1/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Dawn, I apologize.  The correct answer is 1/2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );