Question

Which pair of graphs are reflections of each other about \[y=x\]?

Options

• \[y=e^x\] and \[y=x^n\]

• \[y=e^x\] and \[y=\sin x\]

• \[y=e^x\] and \[y=\log x\]

• \[y=\log x\] and \[y=\frac{1}{x}\]

Answer 1

The functions \[y=e^x\] and \[y=\log x\] are inverse functions. Consequently, their graphs are reflections about the line \[y=x\].