Home
Class 12
MATHS
The range of the function f(x)=5-4x-x^(2...

The range of the function `f(x)=5-4x-x^(2)` is

A

`{y:yle0}`

B

`{y:yge-9}`

C

`{y:yle9}`

D

`{y:yge0}`

Text Solution

Verified by Experts

The correct Answer is:
C
Find the vertex: `x=-(b)/(2a)=(4)/(-2)=-2 and y=5-4(-2)-(-2)^(2)=9`. Since a=-1`lt0` the parabola opens down, so the range is `{y:y le9}`.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC FUNCTIONS

    ENGLISH SAT|Exercise EXERCISES|7 Videos

  • PROBLEMS IN CONTEXT

    ENGLISH SAT|Exercise PRACTICE TEST|10 Videos

  • RATIONAL FUNCTIONS

    ENGLISH SAT|Exercise EXERCISES|5 Videos

Similar Questions

Explore conceptually related problems

The range of the function f(x)=(5)/(3-x^(2)) is

Find the range of the functions: f(x)=2-3x-5x^(2)

The range of the function f(x)=(|x-4|)/(x-4) is

The range of the function f(x)=x^2+1/(x^2+1) is

The range of the function f(x)=x^2+1/(x^2+1) is

Range of the function f(x)=2+|x^(2)+1| is

The range of the function f(x)=(x+1)/(x-2) is

The range of the function f(x)=cos^(2)x -5 cosx -9 is :

The range of the function f(x)=(x^(2)-2)/(x^(2)-3) is

The range of the function f(x) = 3x^2+7x+10 is