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March 29, 2017

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Evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph State the equation of the line asymptotic to the graph (if any).

y = (1/4)^x+3

  • Algebra - ,

    I don't see a logarithmic equation, I see an exponential equation.
    Secondly you probably meant
    y = (1/4)^(x+3)

    x = 1 , y = (1/4)^4 = 1/256 = .0039
    x = .25 , y = (1/4)^3.25 = .0110
    x = .5 , y = (1/4)^3.5 = .0078
    x = .75 , y = (1/4)^3.75 = .0055

    Your graph starts extremely high in the 2nd quadrant, drops rapidly, goes through (-3,1)
    has a y-intercept of .0156
    and approaches the x-axis
    The x-axis is a horizontal asymptote.

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