Question 1128232
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If the problem tells you to use your calculator to graph the function, then we can't do it for you....<br>
By the way, make sure you enter the function correctly, with parentheses where required:  f(x) = (x+5)/((x-2)(x-4)), or<br>
{{{f(x) = (x+5)/((x-2)(x-4))}}}<br>
The graph you get should show vertical asymptotes at x=2 and x=4, because either of those values makes the denominator 0 and so the function is not defined.  And it should show you a single zero at x=-5, because that is the only value of x that makes the numerator 0.<br>
Then you can find where the function value is positive by looking at the factors in the expression:<br>
(-infinity, -5): all three factors negative, so function value negative
(-5,2): two factors negative, so function value positive
(2,4): one factor negative, so function value negative
(4,infinity): no factors negative; so function value positive<br>
So the graph you get should show the function value greater than 0 for x values between -5 and 2, and for x values greater than 4.