Question 1143049
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Despite what the other tutor (?) says, (-5, -2) and (-2, 4) are perfectly good intervals....<br>
All you need is any continuous graph which, as you "walk" along the graph from x=-5 to x=-2, always has you walking "downhill", and which, as you walk along the graph from x=-2 to x=4 always has you walking "uphill".<br>
Absolute value functions and parabolas are two common types of functions that can meet those requirements.<br>
(1) {{{y = abs(x+2)-3}}}  is downhill from x=-5 to x=-2 and uphill from x=-2 to x=4:<br>
{{{graph(400,400,-8,8,-8,8,abs(x+2)-3)}}}<br>
(2) {{{y = (1/4)(x+2)^2-3}}}  is also downhill from x=-5 to x=-2 and uphill from x=-2 to x=4:<br>
{{{graph(400,400,-8,8,-8,8,(1/4)(x+2)^2-3)}}}<br>
And of course there are an infinite number of other functions that satisfy the requirements.