Home › JEE Main › mathematics › Relations and Functions › Which of the following sets of ordered pairs rep…
Which of the following sets of ordered pairs represents a function?
A$\{(1,2),(1,4),(2,5)\}$
B$\{(1,2),(2,3),(3,4)\}$
C$\{(1,2),(1,3)\}$
D$\{(2,1),(2,2)\}$
Answer & Solution
Correct answer: B. $\{(1,2),(2,3),(3,4)\}$
Only {(1,2),(2,3),(3,4)} has each first-coordinate appearing once; the others repeat an input with different outputs.
Related questions
The graph of $f(x) = 1/x$ in $\mathbb{R} - \{0\}$ is:The function $f: \mathbb{R} \to \mathbb{R}, f(x) = x^2$ is:A relation $R$ from $A$ to $B$ qualifies as a function when:If $|A| = 3$ and $|B| = 4$, the number of elements in $A \times B$ is:The number of bijective functions from a set with $n$ elements onto itself is:On the set $\{1,2,3\}$, the relation $R = \{(1,1),(2,2),(3,3)\}$ is:A function is invertible if and only if it is:If $f(x) = 2x$ and $g(x) = x + 1$, then $(g\circ f)(x)$ equals: