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(:title x-intercept:) >>nav_bar<<%reg%Mathcasts         %exa%Examples      %pra%Practice%%    %mor%More      %up%[[glossary/X]] >><< [[<<]] ---- [table border=1 cellpadding=5 width=98%] [row] []>>&<< %def b%Definition:%% An %red b%x-intercept%% of a function is a point at which the function crosses the x-axis. >>-<< %reg b%Rules:%% *%c11%x-intercepts are called %c11 red%[[root|roots]]%%.%% *The x-axis is also the line y=0. So substituting y=0 and solving for x gives x-intercepts. >>&<< [table] [row] [] >>&<< %exa b%Example:%% Find the x-intercept of the quadratic function {$ f(x)= x^2-x-2 $} (:div style="margin-left:20px":)Substitute y=0 into the function: {$ 0= x^2-x-2 $} >>&<>&<>&<< ------------- >>&<< %rel%Related topics: * [[root]] of a function * [[function]] * [[y-intercept]] * [[polinom]], [[linear function]], [[quadratic function]] >>&<< ---- (:showhide3 init=hide div=box4 lshow='Add comment' lhide='Close':) >>id=box4<< (:commentbox:) >><< [table width=100%] [row] [][[glossary/X| Attach:main/tri_purple_up_a.gif ]] [[glossary/X| Up one level]] [r](:html:) (:htmlend:) [tableend]