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Popular >

range of x^2+4x+2

Solution

range

x^{2} + 4 x + 2

Solution

f (x) \geq - 2

+1

Interval Notation

[- 2, \infty)

Solution steps

Vertex of

x^{2} + 4 x + 2 :

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

y = 5 x^{2}

domain of e^{x+2}domain

e^{x + 2}

inverse of f(x)=(5x+1)/(-x+7)inverse

f (x) = \frac{5 x + 1}{- x + 7}

domain of f(x)=(x^3+4x^2)/(7x^2-2)domain

f (x) = \frac{x ^{3} + 4 x ^{2}}{7 x ^{2} - 2}

inverse of f(x)=\sqrt[3]{3x-6}inverse

Frequently Asked Questions (FAQ)

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