document.write( "Question 145375: Please help me solve this question. Which of the following relations is (are) functions?\r
\n" ); document.write( "\n" ); document.write( "a. {(x,y)| y^2=2x+1}
\n" ); document.write( "b. {(x,y)| y=2x^2+1}
\n" ); document.write( "c. {(2,3), (3,3), (4,3)}
\n" ); document.write( "

Algebra.Com's Answer #106251 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Please help me solve this question. Which of the following relations is (are) functions?
\n" ); document.write( "a. {(x,y)| y^2=2x+1}
\n" ); document.write( "Solve for \"x\" : x = (y^2-1)/2
\n" ); document.write( "This is a parabola opening to the right.
\n" ); document.write( "It is not a function.
\n" ); document.write( "Notice that when x = 0, y^2 = 1, so y could be +1 or it could be -1.
\n" ); document.write( "---------------------------\r
\n" ); document.write( "\n" ); document.write( "b. {(x,y)| y=2x^2+1}
\n" ); document.write( "This is a prabola opeing up and is a function.
\n" ); document.write( "--------------------
\n" ); document.write( "c. {(2,3), (3,3), (4,3)}
\n" ); document.write( "Each different x value has a unique y-value paired with it.
\n" ); document.write( "It is a function.
\n" ); document.write( "================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );