37.0k views
4 votes
Pls help this is very important

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

1 Answer

7 votes

Final answer:

A horizontal line at y=20 is graphed for the function f(x) = 20, restricted to 0 ≤ x ≤ 20, and its inverse, x=20, is represented by a dashed vertical line.

Step-by-step explanation:

The student's question seems to involve understanding how to graph a one-to-one function and its inverse.

Specifically, the function in question appears to be a constant function, f(x) = 20, within the domain of 0 ≤ x ≤ 20.

To graph this function, you would plot a horizontal line at y=20 from x=0 to x=20.

For its inverse, because an inverse function swaps the roles of x and y, the inverse would be x=20.

This 'function' is tricky though, as it is a vertical line, which is not technically a function, but it represents the inverse relationship.

In a usual case, each point (x, y) on the original function corresponds to a point (y, x) on its inverse.

To graph the original function, simply draw a solid horizontal line at y=20 from x=0 to x=20.

The inverse would be drawn as a dashed vertical line at x=20 from y=0 to y=20.

The table for f(x) would have entries where y is always 20 for any x between 0 and 20.

The table for the inverse (which isn't a function) would not exist in a traditional sense because x does not vary with y.

User Jake Lam
by
8.0k points