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Grade 11

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

11U.A.1.3

Explain the meanings of the terms domain and range, through investigation using numeric, graphical, and algebraic representations of the functions f(x) = x, f(x) = x , f(x) = sqrt(x), and f(x) =1/x; describe the domain and range of a function appropriately and explain any restrictions on the domain and range in contexts arising from real-world applications

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