Question

inverse relations and functions guided practice the graph of relation wis shown. which of the following is the graph of the relation and its inverse? a. b. c. check answer

Explanation:

To find the graph of a relation and its inverse, we use the property that the graph of an inverse relation is the reflection of the original relation over the line \( y = x \). So we check which option has the two graphs (original and inverse) symmetric with respect to \( y = x \). In option A, the blue and red graphs are reflections over \( y = x \), while in B they overlap too much and in C the symmetry is not over \( y = x \) (more like over x - axis or not the correct inverse reflection).

Answer:

A. The graph where the blue and red graphs are reflections over the line \( y = x \) (the graph in option A, with blue in the second quadrant - like shape and red in the fourth quadrant - like shape, symmetric over \( y = x \))