Home
Class 11
MATHS
Find the image of the interval [1,3] und...

Find the image of the interval [1,3] under the mapping `f: R to R` given:
`f(x) = 2x^(3)-24x + 107`

Text Solution

Verified by Experts

The correct Answer is:
[75, 89]
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -I|53 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -II|165 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise OBJECTIVE QUESTIONS ON ADDITIONAL INFORMATION|5 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

Find the intervals in which the function f given by f(x) = 2x^(3) – 3x^(2) – 36x + 7 is (a) increasing (b) decreasing

Find the maximum value of 2x^(3) – 24x + 107 in the interval [1, 3]. Find the maximum value of the same function in [–3, –1].

Knowledge Check

  • If f: R to R defined by f(x) =x^(2)-2x-3 , then f is:

    A
    a function
    B
    one one
    C
    onto
    D
    one one onto

  • If f : R to R be given by f (x) = (3 -x ^(3)) ^(1/3), then fof (x) is

    A
    `x ^(1/3)`
    B
    `x ^(3)`
    C
    `x`
    D
    `(3-x ^(3)).`

  • f: R rarr R , f(x)=x^(3)-3x^(2)+6x-5 is

    A
    one-one and onto
    B
    one-one and into
    C
    onto but not one-one
    D
    neither one-one nor onto

    • Similar Questions

    Explore conceptually related problems

    Find the intervals in which the function f given by f(x) = 2x^(2) – 3x is (a) increasing (b) decreasing

    Find the intervals in which the function f given by f(x) =x^(3) +(1)/(x^(3)) , xne 0 is (i) increasing (ii) decreasing .

    Find gof and fog, if f: T to R and g : R to R are given by f (x) = cos x and g (x) = 3x ^(2). Show that gof ne fog.

    Show that the function f given by f(x) = x^(3)-3x^(2)+4x,x in R is increasing on R.

    If f : R to R is defined by f(x) = x^(2)- 6x + 4 then , f(3x + 4) =

    Home
    Profile