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Popular >

range of 6x^2+12x

Solution

range

6 x^{2} + 12 x

Solution

f (x) \geq - 6

+1

Interval Notation

[- 6, \infty)

Solution steps

Vertex of

6 x^{2} + 12 x :

Minimum

(- 1, - 6)

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 = 6,

Vertex

(x_{v}, y_{v}) = (- 1, - 6)

f (x) \geq - 6

Popular Examples

slope of y=1.1x slope

y = 1.1 x

inverse of y=(x^2+3x+7)/(2x-1)inverse

y = \frac{x ^{2} + 3 x + 7}{2 x - 1}

parity cos^x(x)parity

cos^{x} (x)

domain of sqrt(x+15)domain

x + 15

asymptotes of f(x)=x+1 asymptotes

f (x) = x + 1

Frequently Asked Questions (FAQ)

What is the range of 6x^2+12x ?
The range of 6x^2+12x is f(x)>=-6