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^2-2

Solution

range

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

Solution

f (x) \geq - 2

+1

Interval Notation

[- 2, \infty)

Solution steps

Vertex of

3 x^{2} - 2 :

Minimum

(0, - 2)

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}) = (0, - 2)

f (x) \geq - 2

Popular Examples

critical f(x)=-(x^2)/2+2 critical points

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

monotone f(x)=(0.1x)/(x^2+16)monotone intervals

f (x) = \frac{0.1 x}{x ^{2} + 16}

periodicity of f(x)=-9cos(-pi/2 x-6)+8 periodicity

f (x) = - 9 cos (- \frac{π}{2} x - 6) + 8

domain of f(x)= 2/x+1 domain

f (x) = \frac{2}{x} + 1

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

f (x) = 3 x + 2

Frequently Asked Questions (FAQ)

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