Question

What are the domain and range of the inverse function in the graphical example?

Options

• Domain: \(\{x:2\le x\le8\}\); Range: \(\{y:0\le y\le7\}\)

• Domain: \(\{x:0\le x\le8\}\); Range: \(\{y:2\le y\le7\}\)

• Domain: \(\{x:0\le x\le7\}\); Range: \(\{y:2\le y\le8\}\)

• Domain: \(\{x:2\le x\le7\}\); Range: \(\{y:0\le y\le8\}\)

Answer 1

An inverse interchanges the domain and range of the original function. Therefore, the inverse has domain \(\{x:2\le x\le7\}\) and range \(\{y:0\le y\le8\}\).