Consider the following statements : 1. The relation {\f} defined by f(x)={\\begin{array}{ccc}x^3 & & 0 \leq x \leq 2 \ 4 x & & 2 \leq x \leq 8\end{array}. \text{ is a function. } 2. The relation {\g} defined by g(x)={\\begin{array}{ccc}x^2 & & 0 \leq x \leq 4 \ 3 x & & 4 \leq x \leq 8\end{array}. \text{ is a function. } Which of the statements given above is/are correct? [NDA II 2023]

Correct Answer is : Both 1 and 2

UPSC NDA II 2023 Mathematics Solved Paper

Question : 23 of 120

Marks: +1, -0

Consider the following statements :
1. The relation f defined by
f(x)={

x3	‌	0≤x≤2
4x	‌	2≤x≤8

.‌ is a function. ‌
2. The relation g defined by
g(x)={

x2	‌	0≤x≤4
3x	‌	4≤x≤8

.‌ is a function. ‌
Which of the statements given above is/are correct?

[NDA II 2023]

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