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Math Asked by a SnapAndSolve user · about 20 hours ago

Complete the table for the function y = log₁⁄₉(x). x | y 1/81 | ___ 1/9 | ___ 1 | ___ 9 | ___ Graph the...

Complete the table for the function y = log₁⁄₉(x).
x | y
1/81 | ___
1/9 | ___
1 | ___
9 | ___
Graph the function y = log₁⁄₉(x).
Plot two points with integer coordinates to graph the function.

Answer

  1. Using (1/9)^y = x, the completed table is:

    x = 1/81: y = 2
    x = 1/9: y = 1
    x = 1: y = 0
    x = 9: y = −1

  2. Plot the integer-coordinate points (1, 0) and (9, −1). Draw a decreasing logarithmic curve through them with vertical asymptote x = 0, defined only for x > 0.

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