document.write( "Question 80938: The problem I have--not from a text book--is this:\r
\n" );
document.write( "\n" );
document.write( "\"Draw the graph of the linear function n(x) = 0\"\r
\n" );
document.write( "\n" );
document.write( "On this one, I am totally lost. Other than understanding there is a \"0\" point on the y axis, I don't know what I am supposed to do. Help! \n" );
document.write( "
Algebra.Com's Answer #58080 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! It helps to visualize this one if you replace n(x) with y to get: \n" ); document.write( ". \n" ); document.write( "y = 0 \n" ); document.write( ". \n" ); document.write( "Now think of it this way: since there is no x in the function, y is always zero regardless \n" ); document.write( "of what value you assign to x. Is (-10, 0) a solution to this equation? Yes it is because \n" ); document.write( "y equals zero. So is (0,0) a solution set because although x is zero, the critical part is \n" ); document.write( "that y = 0 and that satisfies the equation. How about the point (50, 0)? Same thing. \n" ); document.write( ". \n" ); document.write( "If you plot all of these points, you begin to see that the graph of y = 0 (or its equivalent \n" ); document.write( "n(x) = 0) is the x-axis, because the x-axis is the line of all points having a y value of zero. \n" ); document.write( ". \n" ); document.write( "Similarly, y = -3 is a horizontal line intersecting the y-axis at -3. No matter what value \n" ); document.write( "you assign to x, the corresponding value of y must always be -3. \n" ); document.write( ". \n" ); document.write( "Hope this is one way of looking at the problem that will help you to make some sense out \n" ); document.write( "of it. \n" ); document.write( " |