Given the following table of values for a one-to-one function g−1(x), determine the graph of g(x).


x −1 0 2 6 14
g−1x 0 one half 1 3 over 2 2
a
logarithmic function increasing from the left in quadrant 3 asymptotic to the line x equals negative 2 passing through the points negative 1 comma 0 and 2 comma 1

b
logarithmic function increasing from the left in quadrant 4 asymptotic to the line x equals 2 passing through the points 3 comma 0 and 6 comma 1

c
power function increasing from the left in quadrant 3 asymptotic to the line y equals negative 2 passing through the points 0 comma negative 1 and 1 comma 2

d
power function increasing from the left in quadrant 2 asymptotic to the line y equals 2 passing through the points 0 comma 3 and 1 comma 6