en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of f(x)=-3x^2-18x-24

Solution

range

f (x) = - 3 x^{2} - 18 x - 24

Solution

f (x) \leq 3

+1

Interval Notation

(- \infty, 3]

Solution steps

Vertex of

- 3 x^{2} - 18 x - 24 :

Maximum

(- 3, 3)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = - 3,

Vertex

(x_{v}, y_{v}) = (- 3, 3)

f (x) \leq 3

Popular Examples

extreme f(x)=x^3+2x^2-4x extreme points

f (x) = x^{3} + 2 x^{2} - 4 x

range of-x^2+1 range

- x^{2} + 1

asymptotes of f(x)= x/(x^2-x-1)asymptotes

f (x) = \frac{x}{x ^{2} - x - 1}

domain of tan(2x)domain

tan (2 x)

inverse of f(x)=-2^{x-3}+3 inverse

f (x) = - 2^{x - 3} + 3

Frequently Asked Questions (FAQ)

What is the range of f(x)=-3x^2-18x-24 ?
The range of f(x)=-3x^2-18x-24 is f(x)<= 3