<PRE><B>Question 789278</B>
f(x) in function notation is the same as y.  f(x)=x is the same as y=x.&lt;P&gt;
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.&lt;P&gt;
y intercept:  {{{y= sqrt(8x^2 + 4x)}}}.  Set x=0:  {{{y= sqrt(8*0^2 + 4*0) = sqrt(0) = 0}}} The y intercept is y=0.&lt;P&gt;
x intercept: {{{y= sqrt(8x^2 + 4x)}}} set y=0: {{{0= sqrt(8x^2 + 4x)}}} square both sides {{{0= 8x^2 + 4x}}}&lt;P&gt;
4x(2x+1) = 0&lt;P&gt;
Either factor can = 0.&lt;P&gt;
4x=0&lt;P&gt;
x=0 is one x intercept.&lt;P&gt;
(2x+1)=0&lt;P&gt;
2x = -1&lt;P&gt;
x = -1/2 is the other x intercept.
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