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Complete the table for the function y = log₁⁄₅(x). x | y 1/25 | ___ 1/5 | ___ 1 | ___ 5 | ___ Graph the...

Complete the table for the function y = log₁⁄₅(x).
x | y
1/25 | ___
1/5 | ___
1 | ___
5 | ___
Graph the function y = log₁⁄₅(x).
Plot two points with integer coordinates to graph the function.

Answer

  1. Using x = (1/5)ʸ, the completed table is:

    x = 1/25: y = 2
    x = 1/5: y = 1
    x = 1: y = 0
    x = 5: y = −1

  2. Plot (1, 0) and (5, −1). Draw a decreasing logarithmic curve through them, with vertical asymptote x = 0. The curve rises without bound as x approaches 0 from the right.

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