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Popular >

range of 3x^2+6x-1

Solution

range

3 x^{2} + 6 x - 1

Solution

f (x) \geq - 4

+1

Interval Notation

[- 4, \infty)

Solution steps

Vertex of

3 x^{2} + 6 x - 1 :

Minimum

(- 1, - 4)

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, - 4)

f (x) \geq - 4

Popular Examples

slope of 12x+3y=7 slope

12 x + 3 y = 7

domain of f(x)=sqrt((3x^2+x)/(x^2+3x+2))domain

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

slope ofintercept 5x+2y=10 slope intercept

5 x + 2 y = 10

domain of f(x)=(7x-14)/(x^2-4)domain

f (x) = \frac{7 x - 14}{x ^{2} - 4}

parity f(x)=-6x^5+7x^2 parity

f (x) = - 6 x^{5} + 7 x^{2}

Frequently Asked Questions (FAQ)

What is the range of 3x^2+6x-1 ?
The range of 3x^2+6x-1 is f(x)>=-4