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India
Class XI

Restrict Domains for a Function

Interactive practice questions

Express the function $f\left(x\right)=4x+5$f(x)=4x+5 with domain {$-1$1, $0$0, $1$1} as a set of ordered pairs.

Write all the ordered pairs on the same line, separated by commas.

Easy
2min

Express the function $f\left(x\right)=x-x^2$f(x)=xx2 with domain the set of integers from $-2$2 to $2$2 (inclusive) as a set of ordered pairs.

Write all the ordered pairs on the same line, separated by commas.

Easy
3min

State a suitable restricted domain for $f\left(x\right)=-x^2-3$f(x)=x23 so that the function is one-to-one and the range remains the same.

Easy
1min

State a suitable restricted domain for $f\left(x\right)=\left(x+3\right)^2$f(x)=(x+3)2 so that the function is one-to-one and the range remains the same.

Easy
1min
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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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