Question

1. the graph gives a sales representatives distance from their home as a function of time on a certain day. a. state the time intervals on which their distance from home is strictly (meaning only) increasing. b. describe in words what the graph indicates about their travel on this day. be specific by telling the intervals you referring to as you describe this.

Explanation:

Step1: Analyze the graph's slope

A function is increasing when its slope is positive.

Step2: Identify increasing - time intervals

By observing the graph, the distance from home is strictly increasing from 8 AM to 10 AM and from 4 PM to 6 PM.

Step3: Analyze the graph for part b

The graph shows different behaviors at different times. From 8 AM - 10 AM, the sales - rep moves away from home. From 10 AM - noon, the distance is constant (staying at a location). From noon - 2 PM, the distance decreases (moving back towards home). From 2 PM - 4 PM, the distance is constant again. From 4 PM - 6 PM, the distance increases (moving away from home again), and then after 6 PM, the distance decreases rapidly (returning home).

Answer:

a. 8 AM - 10 AM and 4 PM - 6 PM
b. From 8 AM - 10 AM, the sales representative moves away from home. From 10 AM - noon, they stay at a location (distance from home is constant). From noon - 2 PM, they move back towards home (distance decreases). From 2 PM - 4 PM, they stay at another location (distance is constant). From 4 PM - 6 PM, they move away from home again, and after 6 PM, they return home quickly (distance decreases rapidly).