Question

Write the inverse of the given function as a set of ordered pairs and then graph the inverse on the coordinate plane.

Function: {(-4,-3),(-2,-4),(0,-2),(1,0),(2,3)}
a) {(-3,-4),(-4,-2),(-2,0),(0,1),(3,2)}
b) {(3,4),(4,2),(2,0),(0,-1),(-3,-2)}
c) {(-3,-4),(-4,-2),(-2,0),(0,1),(3,2)}
d) {(3,4),(4,2),(2,0),(0,-1),(-3,-2)}

Answer 1

The inverse of the given function is answer choice a, and graphing it involves plotting the reversed ordered pairs on a coordinate plane.

Step-by-step explanation:

To find the inverse of a function represented by a set of ordered pairs, you switch the positions of the x and y coordinates in each pair. Therefore, the inverse of the function {(-4,-3),(-2,-4),(0,-2),(1,0),(2,3)} becomes {(-3,-4),(-4,-2),(-2,0),(0,1),(3,2)}, which corresponds to answer choice a.

To graph the inverse, plot each of the ordered pairs on a coordinate plane. For the set of ordered pairs given, the resulting graph will show the points (-3,-4), (-4,-2), (-2,0), (0,1), and (3,2).