Question

The following function is​ one-to-one. Complete the table. Graph the function as a solid line​ (or curve), and then graph its inverse on the same set of axes as a dashed line​ (or curve).

​f(x)​=sqr0 , x0

Answer 1

To complete the table and graph the function and its inverse, we need to understand what the given function f(x) represents. The function f(x) is a constant function because the graph of f(x) is a horizontal line. The inverse function can be found by swapping the x and f(x) values in the original function.

Step-by-step explanation:

To complete the table and graph the function and its inverse, we need to understand what the given function f(x) represents. From the information provided, the function f(x) is a constant function because the graph of f(x) is a horizontal line. Since the function is one-to-one, it means that each unique value of x corresponds to a unique value of f(x). Therefore, the inverse function can be found by swapping the x and f(x) values in the original function.

Let's complete the table:

xf(x)Inverse0sqr(0)01sqr(0)12sqr(0)23sqr(0)3.........

Now, let's graph the function f(x) as a solid line and its inverse as a dashed line on the same set of axes.