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Complete the table for the function y = log₃(x − 2). x | y 19/9 | ___ 7/3 | ___ 3 | ___ 5 | ___ Graph the...

Complete the table for the function y = log₃(x − 2).
x | y
19/9 | ___
7/3 | ___
3 | ___
5 | ___
Graph the function y = log₃(x − 2).
Plot two points with integer coordinates to graph the function.

Answer

  1. Completed table: For x = 19/9, y = −2; for x = 7/3, y = −1; for x = 3, y = 0; for x = 5, y = 1.

    These follow from x − 2 = 1/9, 1/3, 1, and 3, respectively.

  2. Plot the integer-coordinate points (3, 0) and (5, 1). Draw an increasing logarithmic curve through them with vertical asymptote x = 2, lying entirely to the right of x = 2.

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