Define combined functions, Mathematics

Assignment Help:

Q. Define Combined Functions?

Ans.

We are often interested in functions which combine a trigonometric function with another type of function.  For example, y = x + sinx with 0≤ x ≤ Π is the sum of two functions: y1 = x and y2 = sinx.

2105_Combined Functions.png

To graph y = x + sinx, first draw y1 = x and y2 = x + sinx  on the same coordinate system.

2257_Combined Functions1.png

Now use a ruler or your eye to add the ordinates y1+y2 .

1941_Combined Functions2.png

Although some functions are easy to draw using addition of ordinates, combined functions can be very complicated to draw by hand.  In these cases, you should use a graphing calculator or other graphing utility to help you.

The graph of a product of two functions is found by  properties of the individual functions.

128_Combined Functions3.png

The graph of y = x + sinx  looks like a combination of the two functions y = x  and y = x + sinx .  The   part of the graph is bounded by the functions y= x  and y = - x.


Related Discussions:- Define combined functions

What is the median of her scores, Jody's English quiz scores are 56, 93, 72...

Jody's English quiz scores are 56, 93, 72, 89, and 87. What is the median of her scores? To find out the median, first put the numbers in sequence from least to greatest. 56, 7

Area and perimeter, if perimeter is 300m length is 100m.find the breadth

if perimeter is 300m length is 100m.find the breadth

The unitary method, i want detail information in advance with question and ...

i want detail information in advance with question and answers.

Example of line - common polar coordinate graphs, Example of line - Common ...

Example of line - Common Polar Coordinate Graphs Example:  Graph θ = 3Π, r cos θ = 4 and r sin θ = -3 on similar axis system. Solution There actually isn't too much to

Word problem, Twins Olivia and Chelsea and their friend Rylee were celebrat...

Twins Olivia and Chelsea and their friend Rylee were celebrating their fourteenth birthdays with a party at the beach. The first fun activity was water games. As Nicole arrived, sh

Probability exercise, 1. A psychologist developed a test designed to help p...

1. A psychologist developed a test designed to help predict whether production-line workers in a large industry will perform satisfactorily. A test was administered to all new empl

Relationship between the graph and inverse function, Interesting relationsh...

Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section.  Ther

Solve by factorization, Solve by factorization X 2 +(a/a+b + a+b/a)x+...

Solve by factorization X 2 +(a/a+b + a+b/a)x+1 = 0 X 2 +(a/a+b + a+b/a)x+1 =>  X 2 +(a/a+b x a+b/ax + a/a+b .a+b/a) =>  X[x+a/a+b] +a+b/a[a+a*a+b]= 0 =>  X= -a

Comercial maths, solve a trader purchases coffee at the rate of Rs. 350 per...

solve a trader purchases coffee at the rate of Rs. 350 per kg and mixes it with chicory bought at the rate of Rs.750 per kg in the ratio 5:2.If he sells the mixture at the rate of

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd