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describe the transformation of y=8^x+2 from the graph of y=8^x then state the asymptote and domain and range.

  • math - ,

    The graph of y = 8^x , which is an exponential curve, has simply been moved up vertically 2 units to get
    y = 8^x + 2
    there is a horizontal asymptote of y = 2 as x ---> -∞
    There are no other asymptotes, since the curve continues to rise faster and faster as x --> +∞

    There is a y-intercept of (0,3), but no x-intercept

    domain: any value of x
    range: y > 2

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