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Complete the table for the function y = log₁⁄₄(x). x | y 1/16 | ___ 1/4 | ___ 1 | ___ 4 | ___ Graph the...

Complete the table for the function y = log₁⁄₄(x).
x | y
1/16 | ___
1/4 | ___
1 | ___
4 | ___
Graph the function y = log₁⁄₄(x).
Plot two points with integer coordinates to graph the function.

Answer

  1. Using x = (1/4)y, the completed table is:

    x = 1/16: y = 2
    x = 1/4: y = 1
    x = 1: y = 0
    x = 4: y = −1

  2. Plot the integer-coordinate points (1, 0) and (4, −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 and falls without bound as x increases.

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