Given the following table of values for a one-to-one function g −1(x), determine the graph of g(x).
x 0 one half 1 3 over 2 2
g−1(x) −2 −1 1 5 13
power function increasing from the left in quadrant 3 asymptotic to the line y equals negative 3 passing through the points 0 comma negative 2 and 1 comma 1
power function increasing from the left in quadrant 2 asymptotic to the line y equals 3 passing through the points 0 comma 4 and 1 comma 7
logarithmic function increasing from the left in quadrant 3 asymptotic to the line x equals negative 3 passing through the points negative 2 comma 0 and 1 comma 1
logarithmic function increasing from the left in quadrant 4 asymptotic to the line x equals 3 passing through the points 4 comma 0 and 7 comma 1
