answersLogoWhite

0

Not necessarily. Suppose f(x) is non monotone. Consider g(x) = x - f(x) which will also be monotone if f'(x) <1 for some x and > 1 for some x. Then f(x) + g(x) = x which is strictly monotone. As a simple example, think of f(x) = x^2

User Avatar

Wiki User

15y ago

What else can I help you with?

Related Questions

What is two 3rd of 1700?

the answer to the sum of two thirds of 1700 is 1133.33 R


The sum of two or more vectors is called a blank vector?

The two vectors are P &amp; Q..Sum of the two vecotors is P+Q=R..R Is called the resultant vector of this two vector..the action of the resultant vector R is equal to the actions of two vectors P &amp; Q..


What is the sum of all the positive proper fractions with denominators less than or equal to 100?

Consider a denominator of r; It has proper fractions: 1/r, 2/r, ...., (r-1)/r Their sum is: (1 + 2 + ... + (r-1))/r The numerator of this sum is 1 + 2 + ... + (r-1) Which is an Arithmetic Progression (AP) with r-1 terms, and sum: sum = number_of_term(first + last)/2 = (r-1)(1 + r-1)/2 = (r-1)r/2 So the sum of the proper fractions with a denominator or r is: sum{r} = ((r-1)r/2)/r = ((r-1)r/2r = (r-1)/2 Now consider the sum of the proper fractions with a denominator r+1: sum{r+1} = (((r+1)-1)/2 = ((r-1)+1)/2 = (r-1)/2 + 1/2 = sum{r) + 1/2 So the sums of the proper fractions of the denominators forms an AP with a common difference of 1/2 The first denominator possible is r = 2 with sum (2-1)/2 = &frac12;; The last denominator required is r = 100 with sum (100-1)/2 = 99/2 = 49&frac12;; And there are 100 - 2 + 1 = 99 terms to sum So the required sum is: sum = &frac12; + 1 + 1&frac12; + ... + 49&frac12; = 99(&frac12; + 49&frac12;)/2 = 99 &times; 50/2 = 2475


What is the algebraic expression for 5 times the sum of p and r?

the sum of p and r is p + r5 times this sum is 5 &Atilde;&mdash; (p + r) = 5(p + r)Multiplication is not written as it looks like an 'x' - it is implied by two things next to each other.The brackets are needed as the addition needs to be done before the multiplication.


What is r squared plus r -20 factored?

(r+5)(r-4) The idea is to get two numbers whose product in this case is -20, and whose sum in this case s +1.


What two numbers equal negative -41?

your nan minus your mum squared all dived by 2 to the sum of r=20 to r= 1.


What is the sum of the infinite geometric series?

The sum of the series a + ar + ar2 + ... is a/(1 - r) for |r| &lt; 1


What is answer to R plus R word puzzle?

Sum of r = summer


How you can add two rational numbers?

If the two rational numbers are expressed as p/q and r/s, then their sum is (ps + rq)/(qs)


What does one fourth the sum of r and ten is identical to r minus 4 mean?

one fourth the sum of r and ten is identical to r munus 4


Sum of individual digits of number?

void main() { int num,r,sum=0; clrscr(); printf("enter the number\n"); scanf("%d",&amp;num); while(num!=0) { r=num%10; sum=sum+r; num=num/10 } printf("The sum of individual digit of given number is=%d",sum); getch() }


What is the sum of the first 15 terms of an arithmetic?

For an Arithmetic Progression, Sum = 15[a + 7d].{a = first term and d = common difference} For a Geometric Progression, Sum = a[1-r^15]/(r-1).{r = common ratio }.