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Popular >

range of f(x)=3x^2+6x

Solution

range

f (x) = 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

range of sqrt(x^2-3x+2)range

x^{2} - 3 x + 2

inverse of f(x)=x^2-4x-5 inverse

f (x) = x^{2} - 4 x - 5

extreme f(x)=(x^3)/(x+2)extreme points

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

domain of f(x)=(8x^2)/(x^4+16)domain

f (x) = \frac{8 x ^{2}}{x ^{4} + 16}

range of f(x)=(x-2)^2 range

f (x) = (x - 2)^{2}

Frequently Asked Questions (FAQ)

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