math quiz tomorrow

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I am having problem graphing with these two equations 2(3^x)-3 and –3(3^–x)

  • math quiz tomorrow -

    why don't you just get yourself a few ordered pairs for each one ?

    e.g. for
    y = 2(3^x) - 3

    (0, -1), (1, 3) , (2,15) , (3, 51) , don't graph the last one, rather just visualize where it is, and what happens if x gets larger
    if x = -1,
    y = 2(1/3) - 3 = -2.33 ---(-1, -2.3)
    if x = -2
    y = 2(1/9) - 3 = appr -2.78 ----> (-2, -2.8)
    ..
    if x = -5
    y = 2(1/243) - 3 = -2.991 ----> (-5, -2.99)
    so clearly the graph approaches -3 as you go to the left, and it rises sharply as you go to the right
    the y-intercept is 0,-1)

    for the second one,
    y = -3 ( 3^-x )

    eg.
    if x = 0 , y = -3(1) = -3
    if x = 1 , y = -3(3^-1) = -3(1/3) = -1
    if x = -1 , y = -3(3^1) = -9
    if x = 2 , y = -3(3^-2) = -3/9 = -1/3
    if x = -2 , y = -3(3^2) = -27
    that should be enough to show what is happening.

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