Chapter 1.5, Problem 51E

Functions in Words Express the function (or rule) in words. f(x)=2x+3

Can a function be its own inverse? Explain.

How do you find the domain for the composition of two functions, fg ?

Mosteller Formula for Body Surface Area: Body surface area is an important piece of medical information because it is a factor in temperature regulation as well as some drug level determinations. The Mosteller formula gives one way of estimating body surface area B in square meters. The formula uses the weight w in kilograms and the height h in centimeters. The relation is B=hw60 In this exercise, we consider people who are 190 centimeters tall. a. Write a formula for B as a function of w. b. Make a graph of B versus w. includes weights up to 100 kilograms. c. Is the graph you made in part b concave up or concave down? d. In this part, we consider the effect of weight gain on men who are 190 centimeters tall. Would the weight gain have a greater effect on surface area for a lighter man or for a heavier man?

How can you determine if a relation is a one-to-one function?

What is the difference between the input and the output of a function?

Target heart rate The target heart rate f(x), in beats per minute, at which a person should train to get an effective workout is a function of the persons age x in years. If f(x)=0.6x+132, find the target heart rate for a 45-year-old college professor.

Pizza Cost Marcello’s Pizza charges a base price of $16 for a large pizza plus 1.50 for eachadditional topping. (a) Find a function f that models the price of a pizza withn toppings. (b) Find the inverse of the function f . What does f1 represent? (c) If a pizza costs $25, how many toppings does it have?

How to know if y is a function of x.