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Popular >

range of 3x^2+6x+2

Solution

range

3 x^{2} + 6 x + 2

Solution

f (x) \geq - 1

+1

Interval Notation

[- 1, \infty)

Solution steps

Vertex of

3 x^{2} + 6 x + 2 :

Minimum

(- 1, - 1)

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, - 1)

f (x) \geq - 1

Popular Examples

domain of x^2-3x domain

x^{2} - 3 x

asymptotes of y=(x^3-x)/(1-3x^2)asymptotes

y = \frac{x ^{3} - x}{1 - 3 x ^{2}}

shift f(x)=-3sin(-2x+pi/2)shift

f (x) = - 3 sin (- 2 x + \frac{π}{2})

periodicity of f(x)=cos(x)periodicity

f (x) = cos (x)

inverse of f(x)=e^{3x+2}inverse

f (x) = e^{3 x + 2}

Frequently Asked Questions (FAQ)

What is the range of 3x^2+6x+2 ?
The range of 3x^2+6x+2 is f(x)>=-1