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)=x^2+5x+6

Solution

range

f (x) = x^{2} + 5 x + 6

Solution

f (x) \geq - \frac{1}{4}

+1

Interval Notation

[- \frac{1}{4}, \infty)

Solution steps

Vertex of

x^{2} + 5 x + 6 :

Minimum

(- \frac{5}{2}, - \frac{1}{4})

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 = 1,

Vertex

(x_{v}, y_{v}) = (- \frac{5}{2}, - \frac{1}{4})

f (x) \geq - \frac{1}{4}

Graph

Popular Examples

parity f(x)=(7x^4+3x^2+1)/(3x^4-5x-2)

critical (x^2)/((x-3))

simplify (-1.4)(4)

domain of f(x)=\sqrt[3]{2(x+1)}+5

extreme (x^2)/2+1/x

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2+5x+6 ?
The range of f(x)=x^2+5x+6 is f(x)>=-1/4