Joe is an athlete and ran today. His exercise heart rate is 130. His THRZ is 147-179 beats per minute. Mike is 200 pounds plus and walked today. His exercise heart rate
is 160 beats per minute. His THRZ is 152-182 bpm. Who was working harder and
how do you know?
a) Mike, he is within his target heart rate zone.
b) Joe, he is an athlete and works harder.
c) Mike and Joe, they are both in their target heart rate zone.
d) Joe, he is within his target heart rate zone.

The correct option is;

a) Mike, he is within his target heart rate zone

Explanation:

The Target Heart Rate Zone (THRZ) is the range of the percentage of a person's maximal heart beat rate (MHR) targeted to be achieved during exercising. It is a very good way to gauge the comparative intensity of a person's exercise

Whereby, Joe's heart beat rate is below his THRZ and Mikes heart beat rate is within his THRZ, Mike is working harder.

Hence the correct option is (a) Mike, he is within his target heart rate zone.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .