Set, Relation and FunctionEasy
Question
The range of the function f(x) = 7-xPx-3 is
Options
A.{1, 2, 3}
B.{1, 2, 3, 4, 5}
C.{1, 2, 3, 4}
D.{1, 2, 3, 4, 5, 6}
Solution
f(x) = 7-xPx - 3
7 - x ≥ 0 ⇒ x ≤ 7
x - 3 ≥ 0 ⇒ x ≥ 3,
and 7 - x ≥ x - 3 ⇒ x ≤ 5
⇒ 3 ≤ x ≤ 5 ⇒ x = 3, 4, 5 ⇒ Range is {1, 2, 3}.
7 - x ≥ 0 ⇒ x ≤ 7
x - 3 ≥ 0 ⇒ x ≥ 3,
and 7 - x ≥ x - 3 ⇒ x ≤ 5
⇒ 3 ≤ x ≤ 5 ⇒ x = 3, 4, 5 ⇒ Range is {1, 2, 3}.
Create a free account to view solution
View Solution FreeMore Set, Relation and Function Questions
Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of th...A function y = f(x) has a second order derivative f″(x) = 6(x - 1). If its graph passes through the point (2, 1) a...Let A be the set of all children in the world and R be a relation in A defined by x R y if x and y have same sex. Then R...Let R : ᐃ → ᐃ, where D is set of all triangles such that ᐃ1 R ᐃ2 ⇒ D1 is congruent t...Which of the following statements is true for sets -...