In a physics class, the teacher proposes that the velocity of a car in miles per hour and the stopping distance in feet are represented by inverse functions. Assuming this is true, which graph includes a pair of functions for a specific velocity function and the corresponding stopping distance that can be verified as inverses?
Answer
A
Image with description On a coordinate plane, the x and y axes range from negative 7 to 7 in increments of 1. The graph has concave up and concave down curves that lie in the first quadrant and intersect each other at (4 comma 4). The concave down curve originates from (0 comma 0) and passes through (2 comma 3). The concave up the curve starts from the origin and goes through (4 comma 4).
B
Image with description On a coordinate plane, the x and y axes range from negative 7 to 7 in increments of 1. The graph has two curves in the first and fourth quadrants, respectively. The curve in the first quadrant starts from the origin and goes through (4 comma 4). The curve in the fourth quadrant originates from (0 comma 0) and passes through (2 comma negative 3).
C
Image with description On a coordinate plane, the x and y axes range from negative 7 to 7 in increments of 1. The graph has two curves in the first and second quadrants, respectively. The curve in the first quadrant starts from the origin, and passes through (4 comma 4). The curve in the second quadrant also originates from the origin, and passes through (negative 6 comma 7).
D
Image with description On a coordinate plane, the x and y axes range from negative 7 to 7 in increments of 1. The graph has concave up and concave down curves that lie in the first quadrant and intersect each other at (4 comma 5). The concave down curve originates from (0 comma 1) and passes through (2 comma 4). The concave curve starts from (0 comma 1) and goes through (4 comma 5).