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If f:R to R satisfies f(x+y)=f(x)+f(y),...

If `f:R to R ` satisfies f(x+y)=f(x)+f(y), for all x, y `in` R and f(1)=7, then `sum_(r=1)^(n)f( r)` is

A

`(7n(n+1))/(2)`

B

`(7n)/(2)`

C

`(7(n+1))/(2)`

D

7n + (n+ 1)

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The correct Answer is:
A
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DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 2
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  3. Which of the following relation is NOT a function ?

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  6. Find the domain of f(x)=sqrt((0. 625)^(4-3x)-(1. 6)^(x(x+8)))

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  7. Let f(x)=x/(1-x) and let alpha be a real number. If x0=alpha, x1=f(x...

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  8. The domain and range of the relation R given by R = {(x, y) : y = x...

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  9. Find the range of f(x)=sgn(x^2-2x+3)dot

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  14. The relation R defined on the set A = {1, 2, 3, 4, 5} by R = {(a, b)...

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  15. Let f (x) = [x], where [x] denotes the greatest integer less than or e...

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  16. Define relations R(1) and R(2) on set A = [2,3,5,7,10] as xR(1)y is 2x...

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  17. A relation R is defined in the set Z of integers as follows (x, y ) in...

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  20. the value of the function f(x)=(x^2-3x+2)/(x^2+x-6) lies in the inter...

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