Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.
A popular model of carry-on luggage has a length that is 10 inches greater than its depth. Airline regulations require that the sum of the length, width, and depth cannot exceed 40 inches. These conditions, with the assumption that this sum is 40 inches, can be modeled by a function (see attached) that gives the volume of the luggage, V, in cubic inches, in terms of its depth, x, in inches. Use function V to solve;
If the volume of the carry-on luggage is 2000 cubic inches, determine two possibilities for its depth. Where necessary, round to the nearest tenth of an inch.
![Volume
de pth
length
width: 40 – (depth + length)
V(x)
= x .
(x + 10)
[40 – (x + x + 10)]
V(x)
x(x + 10)(30 – 2x)
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf05013e-eec6-48e0-860b-1eb6c4282d64%2F9ed957e0-c082-4975-bc32-52dc9580b9b1%2F0escfdb.png&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
