Comparing a Function and Its Inverse Answers

Which answer includes a function, its inverse, and a dashed line that verifies the relationship?

Students are asked to graph the inverse, f–1(x) of an absolute value function, f(x) after restricting its domain. The directions also ask that the graph include a dashed line that can be used to verify that the functions are inverses of each other.Which student’s work is correct?

The cost table shows the average cost, a(x), of producing x number of earbuds.

Consider the function.What is the y-intercept of f–1(x)?

Consider this function.f(x) = |x – 4| + 6If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and its inverse related?

The graph below shows two linear functions.

Consider the function and its inverse. and When comparing the functions using the equations, which conclusion can be made?

Table A represents the function that models the stopping distance in feet of a derby car, d(x), based on the velocity in miles per hour of the car, x.Table B represents the function that models the velocity of a car, v(d), in miles per hour based on distance in feet it took the car to stop, d.