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Math Asked by a SnapAndSolve user · about 20 hours ago

Complete the table for the function y = log₃(x). x | y 1/9 | ___ 1/3 | ___ 1 | ___ 3 | ___ 9 | ___ Graph...

Complete the table for the function y = log₃(x).
x | y
1/9 | ___
1/3 | ___
1 | ___
3 | ___
9 | ___
Graph the function y = log₃(x).
Plot two points with integer coordinates to graph the function.

Answer

  1. Completed table: x = 1/9 → y = −2; x = 1/3 → y = −1; x = 1 → y = 0; x = 3 → y = 1; x = 9 → y = 2.

    These follow from 3ʸ = x.

  2. Plot (1, 0) and (3, 1). Draw an increasing logarithmic curve through these points (also through (9, 2)), approaching the vertical asymptote x = 0 from the right. The graph exists only for x > 0.

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