Question

function f gives the heart rate, in beats per minute, as a function of time, in minutes.
find the value of f(10) and of f(35)
f(10) =
f(35) =

Explanation:

Step1: Find \( f(10) \)

To find \( f(10) \), we look at the graph of the function \( f \) where the x - axis represents time (in minutes) and the y - axis represents heart rate (in beats per minute). At \( x = 10 \) minutes, we check the y - value of the point on the graph. From the graph, when \( x=10 \), the heart rate is 110 beats per minute. So \( f(10)=110 \).

Step2: Find \( f(35) \)

To find \( f(35) \), we look at the graph at \( x = 35 \) minutes. We check the y - value of the point on the graph corresponding to \( x = 35 \). From the graph, when \( x = 35 \), we can see that the heart rate is 100 beats per minute (since after \( x = 30 \), the heart rate starts to decrease from 110, and at \( x=35 \), we can observe the value from the graph's coordinates). So \( f(35)=100 \).

Answer:

\( f(10)=\boldsymbol{110} \), \( f(35)=\boldsymbol{100} \)