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Popular >

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

Solution

range

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

Solution

f (x) \geq - 5

+1

Interval Notation

[- 5, \infty)

Solution steps

Vertex of

x^{2} + 6 x + 4 :

Minimum

(- 3, - 5)

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}) = (- 3, - 5)

f (x) \geq - 5

Popular Examples

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

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

domain of f(x)=sqrt(x+9)domain

f (x) = x + 9

vertices y=10x^2 vertices

y = 10 x^{2}

inverse of f(x)=cos(x-pi/2)inverse

f (x) = cos (x - \frac{π}{2})

domain of (2-x^2)(x^2-9)domain

(2 - x^{2}) (x^{2} - 9)

Frequently Asked Questions (FAQ)

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