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India
Class XI

Functional relations to describe properties

Interactive practice questions

Consider the function $f\left(x\right)=3^x$f(x)=3x.

a

Calculate $f\left(x+y\right)-f\left(x\right)f\left(y\right)$f(x+y)f(x)f(y).

b

What can we conclude about $f\left(x\right)$f(x) for any real valued $x$x?

$f\left(x+y\right)>f\left(x\right)f\left(y\right)$f(x+y)>f(x)f(y)

A

We cannot conclude anything.

B

$f\left(x+y\right)=f\left(x\right)f\left(y\right)$f(x+y)=f(x)f(y)

C

$f\left(x+y\right)f(x+y)<f(x)f(y)

D
Easy
2min

Consider the function $f\left(x\right)=4^x$f(x)=4x.

Easy
2min

Consider the function $f\left(x\right)=7^x$f(x)=7x.

Easy
1min

Consider the function $f\left(x\right)=2x^2+5x+5$f(x)=2x2+5x+5.

Easy
3min
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Outcomes

11.SF.RF.2

Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

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