Home
Class 12
MATHS
A function f is such that f(x)=x^3+ax^2+...

A function f is such that `f(x)=x^3+ax^2+bx+c`, where a, b, c are chosen by throwing a die three times. The probability that f is an increasing function is

A

`1/9`

B

`2/9`

C

`1/3`

D

`4/9`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-I (subjective type questions)|10 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

Similar Questions

Explore conceptually related problems

Suppose f(x)=x^(3)+ax^2+bx+c.a,b,c are chosen respectively by throwing a die three times. Find the probability that f(x) is an increasing function.

Consider f(x)=x^(3)+ax^(2)+bx+c , parameters a,b,c are chosen respectively by throwing a dice three times. Then probability that f(x), is an increasing functions is

f(x)=x^(3)+ax^(2)+bx+c parameters a,b ,c are chosen respectively by throwing a die three times,then probability that f(x) is non decreasing is.

consider f(x)=x^(3)+ax^(2)+bx+c Parameters a,b,c are chosen as the face value of a fair dice by throwing it three xx Then the probability that f(x) is an invertible function is (A) (5)/(36) (B) (8)/(36) (C) (4)/(9) (D) (1)/(3)

The function f(x)=x^(2)+bx+c , where b and c are real constants, describes

Let f(x)=ax^(2)+bx+c, where a,b,c are rational,and f:z rarr z ,Where z is the set of integers.Then a+b is

A function is defined as f(x) = ax^(2) – b|x| where a and b are constants then at x = 0 we will have a maxima of f(x) if

The function f(x)=x^(3)+ax^(2)+bx+c,a^(2)le3b has

Let f(x)=x^(3)+ax^(2)+bx+c where a,b,c in R, then which of the following statement(s) is/are correct?

Let f(x)=ax^(2)+bx+c, where a,b,c in R,a!=0. Suppose |f(x)|<=1,x in[0,1], then