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3. Graph the step function over the interval -2 ≤ x ≤ 2.


f(x) = |x+3|

So far I've got a plot over (-2,0) and (0,3) but I have no clue if I'm doing it right! May I get some help?

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2 answers

  1. For x = - 2
    | x + 3 | = | - 2 + 3 | = | 1 | = 1

    For x = 2
    | x + 3 | = | 2 + 3 | = | 5 | = 5

    In Cartesian coordinate system mark points ( - 2 , 1 ) and ( 2 , 5 )
    and draw line

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  2. |x+3| is not a step function
    ⌊x+3⌋ is a step function
    plot (-2,1) with a solid dot. Draw a horizontal line to (-1,1)
    plot (-1,2) with a solid dot. Draw a horizontal line of length 1
    and so on. it looks like a staircase -- with steps

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