f(x)= |x|/x for x cannot equal 0 and 0 for x=0

the value from integral -5 to 3f(x)dx is

How do I get the graph of this without using a calculator and solve for this

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  1. |x|/x = 1 for x>0
    |x|/x = -1 for x<0
    f(x) is just two horizontal lines, below and above the x-axis .

    So, the integral from -5 to 3 is just the area of a 5x1 rectangle below the x-axis subtracted from that of a 3x1 rectangle above the x-axis.

  2. where did you get 1 and -1 why do they equal that

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  3. recall the definition of |x|

    |x| = x if x >= 0
    |x| = -x if x < 0

    When you divide by x, that just gives you 1 and -1

    Go online to any handy graphing web site, and have it do the graph for you.

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