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Popular Functions >

range of 3x^2+6x

Solution

range

3 x^{2} + 6 x

Solution

f (x) \geq - 3

+1

Interval Notation

[- 3, \infty)

Solution steps

Vertex of

3 x^{2} + 6 x :

Minimum

(- 1, - 3)

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}) = (- 1, - 3)

f (x) \geq - 3

Graph

Popular Examples

range of f(x)=sqrt(x)+6

perpendicular 6x+3y=-6

domain of f(x)=(1+4x)/(2x-1)

critical 12x^2-204x+594

parallel y=0.25x-7,(-6,8)

Frequently Asked Questions (FAQ)

What is the range of 3x^2+6x ?
The range of 3x^2+6x is f(x)>=-3