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Popular >

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

Popular Examples

critical f(x)=-x^3-3x^2+9x+3 critical points

f (x) = - x^{3} - 3 x^{2} + 9 x + 3

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

f (x) = x + 6

perpendicular 6x+3y=-6 perpendicular

6 x + 3 y = - 6

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

f (x) = \frac{1 + 4 x}{2 x - 1}

simplify (10.3)(4.7)simplify

(10.3) (4.7)

Frequently Asked Questions (FAQ)

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