Question

The speedometer on a car shows that the car is going 60 miles per . The function e(x) defined by e(x) = |x - 60| hour represents the error in the speed that the speedometer shows, where x is the actual speed of the car in miles per hour. For example , if your actual speed is 70 miles per hour , the error in the speedomiter display is e(70)=|70-60|=|10|=10| miles per hour. Graph the function.

Answer 1

The function e(x) is graphed as a V-shaped curve representing the absolute error between the car's actual speed and the speedometer reading, with a vertex at (60, 0) indicating no error at 60 mph.

Step-by-step explanation:

The function e(x) = |x - 60| represents the error in the speed that a car's speedometer shows where x is the actual speed of the car in miles per hour. This function is a piecewise function with two parts: When x is greater than or equal to 60, the function is e(x) = x - 60, and when x is less than 60, the function is e(x) = 60 - x. Graphing this function results in two rays that meet at the point (60, 0). The graph will be a V-shaped curve with its vertex at (60, 0), showing that the error is zero when the actual speed is 60 mph. For a speedometer with a certain percent uncertainty, one can use this graph to find the amount of error at different actual speeds.