en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

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

Graph

Popular Examples

midpoint (5,6),(3,-2)

inverse of f(x)=ln(x+3)-1

inverse of f(x)=((2x+3))/(5-x)

range of f(x)=(x+6)/(x-5)

slope of 3x-y+y

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