I need help with 1c the higher its BMR and the more food it needs to eat each day.1. The function f(x) = 70x² can be used to estimate the BMR of mammals and many other types ofanimals. In this function, x is the mass of the animal in kilograms, and f(x) is its BMR inkilocalories (kcal) per day. Note that 1 kcal is equal to 1 food Calorie.a. What are the domain and range of the function? Explain mathematically why the domain isrestricted. Explain contextually why the domain is restricted.b. Does the value of the function increase or decrease over its domain? Explain what thismeans in the context of the problem.c. Describe f(x) as a transformation of the function h(x) = xỉ.2. a. Find the inverse of f(x) and explain what it means in the context of the problem.b. A male Bengal tiger at a zoo has an estimated BMR of 4000 kcal/day, and a female Bengaltiger has an estimated BMR of 2850 kcal/day. Predict how much greater the mass of themale tiger is than that of the female tiger. Show work using the functions in this problem.3. The howler monkeys at the zoo are fed a diet that contains 3.35 kcal/gram.a. Write a function g(x) that gives the mass of food in grams that a howler monkey must eat toobtain x kilocalories of energy.b. Using the function f(x) from #1, find the function g( f(x) ) and tell what it represents in thecontext of the problem.c. One of the howler monkeys has a mass of 9 kg. How many grams of food must it eat eachday just to meet the needs of its BMR?F3F4F5F7F8F10%24&*567R.YP

Name: I need help with 1c the higher its BMR and the more food it needs to e
Uploaded: 2024-03-20T06:46:14.000Z
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Description: I need help with 1c the higher its BMR and the more food it needs to eat each day.1. The function f(x) = 70x² can be used to estimate the BMR of mammals and many other types ofanimals. In this function, x is the mass of the animal in kilograms, and f

Given the parent function: hx=x34

Math

Calculus

1. The function f(x) = 70x² can be used to estimate the BMR of mammals and many other types animals. In this function, x is the mass of the animal in kilograms, and f(x) is its BMR in kilocalories (kcal) per day. Note that 1 kcal is equal to 1 food Calorie. %3D a. What are the domain and range of the function? Explain mathematically why the domain is restricted. Explain contextually why the domain is restricted. Ib. Does the value of the function increase or decrease over its domain? Explain what this means in the context of the problem. c. Describe f(x) as a transformation of the function h(x) = xỉ.