Question

1. choose the best answer. we expect to see a _ for the graph of a composition of a function and its inverse function, if the domain of each is all real numbers. circle curve parabola line 18. choose the best answer. if the variable of a radical function is multiplied by a number, the graph of the function will be _ and enlarged by the value of that number. shifted stretched down left

Explanation:

1. For the composition of a function and its inverse function with domain all real - numbers, by the property of inverse functions, \(f(f^{-1}(x))=x\) and \(f^{-1}(f(x)) = x\), which is the equation of the line \(y = x\). So the graph is a line.
2. When the variable of a radical function \(y=\sqrt{x}\) (for example) is multiplied by a number \(a\) (\(y = \sqrt{ax}\)), if \(|a|> 1\), the graph is horizontally compressed (equivalent to vertically stretched) and enlarged by the value of that number.

Answer:

1. D. line
2. B. stretched