Question 1206144
see what are domain and range:

<a href="https://ibb.co/KxvGxgN"><img src="https://i.ibb.co/KxvGxgN/CNX-Precalc-Figure-01-02-006.jpg" alt="CNX-Precalc-Figure-01-02-006" border="0"></a>



first graph:

line goes from the point ({{{1}}},{{{3 }}})to infinity on left side, but on right side goes to the point ({{{2}}},{{{4}}})
bot points are included

so, domain will be all {{{x}}} from {{{-infinity }}}to {{{2}}}
interval notation:

({{{-infinity}}},{{{2}}}]

range 
The range is the set of outputs (values of {{{y}}}) for which a function is defined.

 the graph continues from 
({{{3}}},{{{infinity}}}] U [{{{3}}},{{{4}}}]

second graph


domain: ({{{-infinity}}},{{{infinity}}})
range: [{{{3}}},{{{infinity}}})

third graph

{{{y=a*abs(x-h) }}}

graph is shifted {{{3}}} units to the right, so {{{h=3}}}

{{{y=a*abs(x-3) }}}



use point: ({{{2}}},{{{3}}}) 

{{{3=a*abs(2-3)}}}
{{{a=3}}}

your equation is:

{{{y=3abs(x-3)}}}

{{{ graph( 600, 600, -10, 10, -10, 10, 3abs(x-3)) }}}