Definition of Function
Trending Questions
Q. The domain of the function
f(x)=sin−1(x2+12x)+1log{2−x}
(where (.) denotes the fractional part function) is
f(x)=sin−1(x2+12x)+1log{2−x}
(where (.) denotes the fractional part function) is
- Φ (empty set)
- {x:x∈I and x≤4}
- (−∞, 0)∪(0, 1)
- {x:x∈I and x≥3}
Q. Which of the following is not a function?
Q. Which of the following is/are a function?
Q. Which of the following is/are functions?
Q. A relation defined from A={0, 1, 2, 3, 4} to N as xRy iff x=y. Then which among the following options is correct
- R−1 is a function with range as A
- R is a function with range as N
- R is a function with range as {1, 2, 3, 4}
- R is not a function
Q. If n(A)=n, n>0 then which among the following statements are correct
- Number of relations on A that are not reflexive =(2n2−n)(2n−1)
- Number of relations on A that are not reflexive =(2n2+n)(2n−1)
- Number of relations on A that are not symmetric
=2n2−2n(n+1)2 - Number of relations on A that are not symmetric
=2n2−2n(n−1)2
Q. Which among the following relations between x, y doesn't represent a function
- (x−1)2+(y−3)2=52, x∈[−4, 6], y∈R
- y2=4x, x∈[0, ∞), y∈R
- x2=4y, x, y∈R
- y=2x+52, x, y∈R
Q. Let a, b, c be rational numbers and f:Z→Z be a function given by
f(x)=ax2+bx+c then a+b is
f(x)=ax2+bx+c then a+b is
- An integer
- A rational number but not an integer
- Negative integer
- Nothing in particular can be said
Q. If A={1, 2, 3, 4} then which among the following relations are not functions from A to itself
- f1={(x, y)|y=x+1, ∀ x, y∈A}
- f2={(x, y)|x+y>4, ∀ x, y∈A}
- f3={(x, y)|y<x, ∀ x, y∈A}
- f4={(x, y)|x+y=5, ∀ x, y∈A}
Q. Which among the following is\are function(s)