Question 934451

{{{f(x)=sqrt(2x)-2}}}

make a table:

{{{x}}}|{{{f(x)}}}

{{{2}}}|{{{0}}}
{{{1}}}|{{{-1}}}
{{{0}}}|{{{-2}}}
{{{3}}}|{{{0.45}}}
{{{4}}}|{{{0.83}}}

plot points and draw a line through:


{{{drawing( 600, 600, -5, 10, -10, 10,
circle(2,0,.13),locate(2,0,p(2,0)),
circle(1,-1,.13),locate(1,-1,p(1,-1)),
circle(0,-2,.13),locate(0,-2,p(0,-2)),
circle(3,.45,.13),locate(3,.45,p(3,0.45)),
circle(4,.83,.13),locate(4,.83,p(4,0.83)), graph( 600, 600, -5, 10, -10, 10, sqrt(2x)-2)) }}}


domain:

{ {{{x}}} element {{{R}}} : {{{x>=0}}} }

range:

{ {{{f(x)}}} element {{{R}}} : {{{f(x)>=-2}}} }