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Popular >

range of f(x)=x^2+4x+6

Solution

range

f (x) = x^{2} + 4 x + 6

Solution

f (x) \geq 2

+1

Interval Notation

[2, \infty)

Solution steps

Vertex of

x^{2} + 4 x + 6 :

Minimum

(- 2, 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 = 1,

Vertex

(x_{v}, y_{v}) = (- 2, 2)

f (x) \geq 2

Popular Examples

slope of y=-3x+2 slope

y = - 3 x + 2

asymptotes of f(x)=(x+8)/(x^2(5-2x)^3)asymptotes

f (x) = \frac{x + 8}{x ^{2} ( 5 - 2 x ) ^{3}}

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

domain of f(x)=sqrt(3+x)domain

f (x) = 3 + x

inverse of 45509584e^{1.01t}inverse

45509584 e^{1.01 t}

Frequently Asked Questions (FAQ)

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