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^2-30x-2

Solution

range

f (x) = 3 x^{2} - 30 x - 2

Solution

f (x) \geq - 77

+1

Interval Notation

[- 77, \infty)

Solution steps

Vertex of

3 x^{2} - 30 x - 2 :

Minimum

(5, - 77)

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}) = (5, - 77)

f (x) \geq - 77

Popular Examples

shift 2sin(pix+5)-2 shift

2 sin (π x + 5) - 2

domain of 1/(sqrt(9-x^2))domain

\frac{1}{9 - x ^{2}}

range of f(x)=2x^2+3 range

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

extreme y=(x+8)/x extreme points

y = \frac{x + 8}{x}

range of 4 range

4

Frequently Asked Questions (FAQ)

What is the range of f(x)=3x^2-30x-2 ?
The range of f(x)=3x^2-30x-2 is f(x)>=-77