document.write( "Question 1208150: Given the following table, determine if the function is linear, or nonlinear. If linear, find the slope. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Table\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x............f(x)\r
\n" ); document.write( "\n" ); document.write( "-2...........1/4\r
\n" ); document.write( "\n" ); document.write( "-1...........1/2\r
\n" ); document.write( "\n" ); document.write( "0............1\r
\n" ); document.write( "\n" ); document.write( "1............2\r
\n" ); document.write( "\n" ); document.write( "2............4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thanks.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #846358 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Let's calculate values of the slope in two intervals.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In the interval [0,1] of x-axis, the slope is  p = \"delta_y%2Fdelta_x\" = \"%282-1%29%2F%281-0%29\" = \"1%2F1\" = 1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In the interval [1,2] of x-axis, the slope is  q = \"delta_y%2Fdelta_x\" = \"%284-2%29%2F%282-1%29\" = \"2%2F1\" = 2.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We see that the slopes are different.\r\n" );
document.write( "\r\n" );
document.write( "Since the slopes at two intervals are different, it is just enough \r\n" );
document.write( "for us to conclude that the given function is nonlinear.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "At this point, the problem is solved in full, with complete explanations.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );