Chapter 5: Q. 43 (page 284)
In Problems 41-52, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function.
Short Answer
The graph is

and the domain and range isand the horizontal asymptote is
/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}
Learning Materials
Features
Discover
Chapter 5: Q. 43 (page 284)
In Problems 41-52, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function.
The graph is

and the domain and range isand the horizontal asymptote is
All the tools & learning materials you need for study success - in one app.
Get started for free
What is the interest due if $500 is borrowed for 6 months at a simple interest rate of 6% per annum?
(a) Find the atmospheric pressure at a height of 2 kilometers (over a mile).
(b) What is it at a height of 10 kilometers (over 30,000 feet)?
Chemist has a 100-gram sample of a radioactive
material. He records the amount of radioactive material every week for 7 weeks and obtains the following data:

(a) Using a graphing utility, draw a scatter diagram with week as the independent variable.
(b) Using a graphing utility, build an exponential model from the data.
(c) Express the function found in part (b) in the form A(t) = A0 e^kt.
(d) Graph the exponential function found in part (b) or (c) on the scatter diagram.
(e) From the result found in part (b), determine the half-life of the radioactive material.
(f) How much radioactive material will be left after 50 weeks?
(g) When will there be 20 grams of radioactive material?
After the release of radioactive material into the atmosphere from a nuclear power plant at Chernobyl (Ukraine) in 1986, the hay in Austria was contaminated by iodine 131 (half-life 8 days). If it is safe to feed the hay to cows when 10% of the iodine 131 remains, how long did the farmers need to wait to use this hay?
A thermometer reading 72°F is placed in a refrigerator where the temperature is a constant 38°F.
(a) If the thermometer reads 60°F after 2 minutes, what will it read after 7 minutes?
(b) How long will it take before the thermometer reads 39°F?
(c) Using a graphing utility, graph the relation between temperature and time.
(d) Using INTERSECT, determine the time needed to elapse before the thermometer reads 45°F.
(e) TRACE the function for large values of time. What do you notice about y, the temperature?
What do you think about this solution?
We value your feedback to improve our textbook solutions.