document.write( "Question 789278: Please help me find the y -intercept and x intercepts of this function: \"f%28x%29=+sqrt%288x%5E2+%2B4x%29\" \n" ); document.write( "
Algebra.Com's Answer #478814 by fcabanski(1391)\"\" \"About 
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f(x) in function notation is the same as y. f(x)=x is the same as y=x.


\n" ); document.write( "x intercept is when y=0 (when the function touches the x axis). y intercept is when x=0 (when the function touches the y axis.) Find the x intercept by setting y = 0 then solving the equation for x. Find the y intercept by setting x=0 then solving the equation for y.


\n" ); document.write( "y intercept: \"y=+sqrt%288x%5E2+%2B+4x%29\". Set x=0: \"y=+sqrt%288%2A0%5E2+%2B+4%2A0%29+=+sqrt%280%29+=+0\" The y intercept is y=0.


\n" ); document.write( "x intercept: \"y=+sqrt%288x%5E2+%2B+4x%29\" set y=0: \"0=+sqrt%288x%5E2+%2B+4x%29\" square both sides \"0=+8x%5E2+%2B+4x\"


\n" ); document.write( "4x(2x+1) = 0


\n" ); document.write( "Either factor can = 0.


\n" ); document.write( "4x=0


\n" ); document.write( "x=0 is one x intercept.


\n" ); document.write( "(2x+1)=0


\n" ); document.write( "2x = -1


\n" ); document.write( "x = -1/2 is the other x intercept.
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