Question

1. the graph of function ( f ) gives the distance of a dog from a post, in feet, as a function of time, in seconds, since its owner left. find the approximate values of ( f(20) ) and of ( f(140) ).

Explanation:

Step1: Analyze \( f(20) \)

To find \( f(20) \), we look at the graph where the x - axis (time) is 20 seconds. We move vertically from \( x = 20 \) on the time axis (y - axis in the given graph's orientation, but we consider the input as time) to the graph of the function. From the grid, we can see that at \( t=20 \) seconds, the distance (output of the function) is approximately 1 foot.

Step2: Analyze \( f(140) \)

For \( f(140) \), we find \( x = 140 \) on the time axis. Moving vertically to the graph, we observe the value of the function. From the grid, at \( t = 140 \) seconds, the distance is approximately 0 feet (or very close to 0, depending on the graph's precision).

Answer:

\( f(20)\approx1 \) foot, \( f(140)\approx0 \) foot (approximate values based on the graph's grid and shape)