Complete the table for the function y = −log₁/₂(x). x | y 1/4 | ____ 1/2 | ____ 1 | ____ 2 | ____ 4 | ____...

Question

Complete the table for the function y = −log₁/₂(x).
x | y
1/4 | ____
1/2 | ____
1 | ____
2 | ____
4 | ____
Graph the function y = −log₁/₂(x).
Plot two points with integer coordinates to graph the function.

SnapAndSolve AI · Accepted Answer

Since −log₁/₂(x) = log₂(x), the completed table is:

x = 1/4: y = −2
x = 1/2: y = −1
x = 1: y = 0
x = 2: y = 1
x = 4: y = 2
Plot (1, 0) and (2, 1). Draw an increasing logarithmic curve through these points with vertical asymptote x = 0. The curve is defined only for x > 0.

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Complete the table for the function y = −log₁/₂(x). x | y 1/4 | 1/2 | 1 | 2 | 4 | ...

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