The function $f$ represents the distance of a dog from a post in feet as a function of time in seconds since its owner left. We need to find the values of $f(20)$ and $f(140)$ using the given graph.

1. Problem Description

The function $f$ represents the distance of a dog from a post in feet as a function of time in seconds since its owner left. We need to find the values of $f(20)$ and $f(140)$ using the given graph.

2. Solution Steps

To find $f(20)$, we locate 20 on the x-axis (time in seconds) and find the corresponding y-value (distance from the post in feet) on the graph. From the graph, at $t=20$, the distance is approximately $f(20) = 1.5$ feet.

To find $f(140)$, we locate 140 on the x-axis and find the corresponding y-value on the graph. From the graph, at $t=140$, the distance is approximately $f(140) = 4$ feet.

3. Final Answer

$f(20) = 1.5$

$f(140) = 4$