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Popular >

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

Solution

range

f (x) = 3 x^{2} - 6

Solution

f (x) \geq - 6

+1

Interval Notation

[- 6, \infty)

Solution steps

Vertex of

3 x^{2} - 6 :

Minimum

(0, - 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 = 3,

Vertex

(x_{v}, y_{v}) = (0, - 6)

f (x) \geq - 6

Popular Examples

range of f(x)=-4/(x^2-3x+6)range

f (x) = - \frac{4}{x ^{2} - 3 x + 6}

perpendicular 3x+6y=5,\at perpendicular

3 x + 6 y = 5, at

parallel y=3-5x parallel

y = 3 - 5 x

line (2,3),(1,0)line

(2, 3), (1, 0)

asymptotes of f(x)=(x^2-1)/(x+2)asymptotes

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

Frequently Asked Questions (FAQ)

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